Return-Path: X-Spam-DCC: paranoid 1102; Body=2 Fuz1=2 Fuz2=2 X-Spam-Checker-Version: SpamAssassin 3.1.3 (2006-06-01) on lipkowski.org X-Spam-Level: X-Spam-Status: No, score=-0.4 required=5.0 tests=BAYES_00,DNS_FROM_AHBL_RHSBL, FORGED_AOL_TAGS,HTML_30_40,HTML_MESSAGE,UNPARSEABLE_RELAY autolearn=no version=3.1.3 Received: from post.thorcom.com (post.thorcom.com [195.171.43.25]) by paranoid.lipkowski.org (8.13.7/8.13.7) with ESMTP id tAPHJP0O023148 for ; Wed, 25 Nov 2015 18:19:25 +0100 Received: from majordom by post.thorcom.com with local (Exim 4.14) id 1a1daX-00017r-5S for rs_out_1@blacksheep.org; Wed, 25 Nov 2015 17:10:37 +0000 Received: from [195.171.43.32] (helo=relay1.thorcom.net) by post.thorcom.com with esmtp (Exim 4.14) id 1a1daW-00017i-Fz for rsgb_lf_group@blacksheep.org; Wed, 25 Nov 2015 17:10:36 +0000 Received: from omr-a010e.mx.aol.com ([204.29.186.54]) by relay1.thorcom.net with esmtps (TLSv1:DHE-RSA-AES256-SHA:256) (Exim 4.86) (envelope-from ) id 1a1dZZ-0004gW-1r for rsgb_lf_group@blacksheep.org; Wed, 25 Nov 2015 17:10:35 +0000 Received: from mtaomg-aak01.mx.aol.com (mtaomg-aak01.mx.aol.com [172.27.2.227]) by omr-a010e.mx.aol.com (Outbound Mail Relay) with ESMTP id DC9FE3800060 for ; Wed, 25 Nov 2015 12:09:20 -0500 (EST) Received: from core-afa08c.mail.aol.com (core-afa08.mail.aol.com [172.27.24.8]) by mtaomg-aak01.mx.aol.com (OMAG/Core Interface) with ESMTP id 8EB723800008C for ; Wed, 25 Nov 2015 12:09:20 -0500 (EST) References: <5655CBB5.8060902@abelian.org> To: rsgb_lf_group@blacksheep.org In-Reply-To: <5655CBB5.8060902@abelian.org> X-MB-Message-Source: WebUI MIME-Version: 1.0 From: Markus Vester X-MB-Message-Type: User X-Mailer: AOL Webmail BASIC Received: from 192.35.17.16 by webmail-vd014.sysops.aol.com (205.188.194.40) with HTTP (WebMailUI); Wed, 25 Nov 2015 12:09:20 -0500 Message-Id: <8D2F5BB28AB47A8-1830-249DF@webmail-vd014.sysops.aol.com> X-Originating-IP: [192.35.17.16] Date: Wed, 25 Nov 2015 12:09:20 -0500 x-aol-global-disposition: G DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=mx.aol.com; s=20150623; t=1448471360; bh=1otCftJx74zxr/lQQQl8oMZiqBrR6fD7shY0ln2Nz/I=; h=From:To:Subject:Message-Id:Date:MIME-Version:Content-Type; b=ybUoaKjLajtpdlsGxjUscqD+EBiiGXmx8d9LzvTvqU13JGgaEPE7D0l910lDFtBcQ NUcM0cZXUjr+VdmelDsa+UPnrpo602Cim7OMF0pCHIgdXr9aH6pu8S/u3HVxNs7uhn FGvwQ0xj+NviOqyIPnzvZIixYodTBQbSpjnSSp2E= x-aol-sid: 3039ac1b02e35655eb4028ae X-Scan-Signature: 6ae5fe68d6708d1e4a9cbdf0f0af43e5 Subject: Re: LF: EbNaut and The Cat / Take 3 Content-Type: multipart/alternative; boundary="--------MB_8D2F5BB28CC9AF6_1830_526FE_webmail-vd014.sysops.aol.com" X-SA-Exim-Scanned: Yes Sender: owner-rsgb_lf_group@blacksheep.org Precedence: bulk Reply-To: rsgb_lf_group@blacksheep.org X-Listname: rsgb_lf_group X-SA-Exim-Rcpt-To: rs_out_1@blacksheep.org X-SA-Exim-Scanned: No; SAEximRunCond expanded to false X-Scanned-By: MIMEDefang 2.56 on 10.1.3.10 Status: O X-Status: X-Keywords: X-UID: 5311 This is a multi-part message in MIME format. ----------MB_8D2F5BB28CC9AF6_1830_526FE_webmail-vd014.sysops.aol.com Content-Transfer-Encoding: quoted-printable Content-Type: text/plain; charset="utf-8" Signal=20got=20better=20later,=20and=C2=A0is=20still=C2=A0visible=20as=20a=20blu= e=C2=A0haze=20in=20last=20night's=C2=A0TA=20spectrograms=20https://dl.dropboxuse= rcontent.com/u/26404526/LF_old/LF_lastnight.htm=C2=A0.=0D=0A=C2=A0=0D=0AAll=20me= ssages=20up=C2=A0to=202=20UT=C2=A0decoded=20nicely:=0D=0A=C2=A0=0D=0Astart=C2=A0= =C2=A0=20Eb/N0=C2=A0=20time=20offset=0D=0A=C2=A0UT=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0= =C2=A0=20dB=C2=A0=C2=A0=C2=A0=20seconds=0D=0A2100=C2=A0=C2=A0=C2=A0=C2=A0=2010.3= =C2=A0=C2=A0=C2=A0=C2=A0=201.1=C2=A0=C2=A0=20=0D=0A2130=C2=A0=C2=A0=C2=A0=C2=A0=C2= =A0=20nil=0D=0A2200=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=207.2=C2=A0=C2=A0=C2=A0=C2=A0=20= 3.5=0D=0A2230=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=208.8=C2=A0=C2=A0=C2=A0=C2=A0=204.5=0D= =0A2300=C2=A0=C2=A0=C2=A0=C2=A0=2011.1=C2=A0=C2=A0=C2=A0=C2=A0=205.8=0D=0A2330=C2= =A0=C2=A0=C2=A0=C2=A0=2011.2=C2=A0=C2=A0=C2=A0=C2=A0=207.0=0D=0A0000=C2=A0=C2=A0= =C2=A0=C2=A0=2013.9=C2=A0=C2=A0=C2=A0=C2=A0=208.1=0D=0A0030=C2=A0=C2=A0=C2=A0=C2= =A0=C2=A0=208.0=C2=A0=C2=A0=C2=A0=C2=A0=209.6=0D=0A0100=C2=A0=C2=A0=C2=A0=C2=A0=C2= =A0=208.1=C2=A0=C2=A0=C2=A0=2011.1=0D=0A0130=C2=A0=C2=A0=C2=A0=C2=A0=2011.6=C2=A0= =C2=A0=C2=A0=2012.0=0D=0A=0D=0A=0D=0A=20The=20time=20offset=20is=20only=20approx= imate,=20and=20I'm=20not=20sure=20whether=20the=20first=20second=20is=20due=20to= =20a=20lag=20associated=20with=20low=20decimated=20samplerate.=C2=A0But=20the=20= average=20rate=20of=20delay=20accumulation=C2=A0(1.2s=20/=2030min)=20is=20probab= ly=20correct.=0D=0A=C2=A0=0D=0AThanks=20to=20Paul=C2=A0for=20of=20ebnaut-rx=20ve= rsion=200.3d.=20I=C2=A0also=20think=20that=C2=A0counting=20all=20missing=20symbo= ls=20as=20errors=20will=20be=20too=20pessimistic.=20Maybe=20it=20makes=20sense=20= to=20assume=20a=2050%=20error=20rate=20for=20the=20statistics,=20more=20equivale= nt=20to=20a=20loss=20of=20signal=20e.g.=20due=20to=20propagation.=C2=A0=0D=0A=C2= =A0=0D=0AOne=20very=20minor=20issue=20I=20noticed=20with=20the=20previous=20vers= ion=20is=20that=20it=20crashes=20when=20rerunning=20after=20having=20increased=20= the=20message=20length=20-=20presumably=C2=A0some=20buffer=20becoming=20too=20sm= all.=0D=0A=C2=A0=0D=0AThanks=C2=A0also=20from=20here=20to=20all=20participants=20= (feline=20and=20human)!=20Next=20step=C2=A0-=20reduce=20frequency=20by=2024.4334= =20dB?=0D=0A=C2=A0=0D=0AAll=20the=20best,=0D=0AMarkus=20(DF6NM)=0D=0A=0D=0A=C2=A0= =0D=0A=0D=0A=0D=0A-----Urspr=C3=BCngliche=20Mitteilung-----=20=0D=0AVon:=20Paul=20= Nicholson=20<vlf0403@abelian.org>=0D=0AAn:=20rsgb_lf_group=20<rsgb_lf_g= roup@blacksheep.org>=0D=0AVerschickt:=20Mi,=2025=20Nov=202015=203:57=20pm=0D=0A= Betreff:=20Re:=20LF:=20EbNaut=20and=20The=20Cat=20/=20Take=203=0D=0A=0D=0AThanks= =20to=20all=20for=20the=20interesting=20tests.=20=20But=20we=20are=20battling=20= =0D=0Awith=20clocks=20and=20oscillators=20rather=20than=20propagation=20and=20no= ise.=20=0D=0A=20=0D=0AAt=20least=20with=20EbNaut=20nobody=20can=20complain=20tha= t=20the=20operator=20is=20=0D=0Ajust=20installing=20the=20software=20and=20press= ing=20'start'.=20=20It=20does=20=0D=0Aseem=20like=20that=20with=20some=20modes:=20= the=20computers=20are=20doing=20all=20the=20=0D=0Acommunicating=20and=20the=20op= erators=20are=20merely=20spectators.=20=20Clearly=20=0D=0Anot=20the=20case=20her= e!=20=0D=0A=20=0D=0AI=20cheated=20and=20used=20Markus'=20time=20offsets=20to=20p= olish=20my=20decodes:=20=0D=0A=20=0D=0A=20=20time=20=20=20Eb/N0=20=20=20=20Phase= =20=0D=0A=20=2021:00=20=20=20=209.6=20=20=20=2030=2030=2030=2030=20=0D=0A=20=202= 1:30=20=20=2013.3=20=20=20=200=200=200=200=20=20=20=20=20=20=20(offset=201.8=20s= econds)=20=0D=0A=20=2022:00=20=20=2012.0=20=20=20=200=200=2030=2030=20=0D=0A=20=20= 22:30=20=20=2010.8=20=20=20=20150=20150=20180=20180=20=0D=0A=20=0D=0AQuite=20a=20= good=20signal=20in=20fact.=2010dB=20too=20strong=20for=20a=20good=20test=20=0D=0A= but=20without=20the=20strong=20signal=20it=20would=20have=20been=20harder=20to=20= =0D=0Aidentify=20the=20clock=20offsets.=20=20We=20don't=20seem=20to=20have=20a=20= problem=20=0D=0Awith=20phase=20with=20these=20short=20messages.=20=0D=0A=20=0D=0A= I've=20updated=20the=20decoder,=20now=20version=200.3d=20=0D=0A=20=0D=0A=20=20ht= tp://abelian.org/ebnaut=20=0D=0A=20=0D=0AIt=20counts=20missing=20(padded)=20symb= ols=20as=20errors=20when=20calculating=20=0D=0ABER=20and=20that=20will=20reduce=20= Eb/N0.=20=20That's=20not=20really=20the=20correct=20=0D=0Athing=20to=20do:=20an=20= erasure=20isn't=20quite=20like=20an=20error,=20the=20decoder=20=0D=0Aonly=20has=20= to=20work=20out=20the=20missing=20bits,=20not=20oppose=20errors=20from=20=0D=0At= he=20demodulator.=20=20=20The=20consequence=20will=20be=20that=20instead=20of=20= =0D=0AEb/N0=20being=20incorrectly=20high,=20it=20will=20now=20be=20incorrectly=20= low.=20=0D=0A=20=0D=0AEg=20I=20just=20tried=20decoding=20less=20than=20half=20th= e=2021:30=20message=20and=20=0D=0Ait=20gave=20=0D=0A=20=0D=0A=20=20found=20rank=20= 0:=20TANGLES=20=20ps=20[=20=201=20=20180=20=20180=20=20180=20=20180]=20=0D=0A=20= =20re-encode=20322/608=20ber=205.30e-01=20=20Es/N0=3D-20.0=20Eb/N0=3D-8.4=20=0D=0A= =20=0D=0AAny=20BER=20over=2050%=20is=20bogus=20and=20the=20Eb/N0=20is=20totally=20= meaningless.=20=0D=0ANevertheless=20the=20decoder=20is=20having=20to=20fix=20up=20= 322=20bits=20here.=20=0D=0A=20=0D=0AMaybe=20a=20better=20thing=20to=20do=20is=20= just=20sum=20over=20the=20un-padded=20=0D=0Asymbols,=20but=20that's=20still=20no= t=20quite=20right.=20=20=20I=20tried=20that=20but=20=0D=0Ait=20throws=20up=20som= e=20other=20problems.=20=0D=0A=20=0D=0AProbably=20not=20a=20big=20deal=20either=20= way.=20=20It's=20unusual=20to=20have=20so=20=0D=0Amuch=20of=20the=20message=20mi= ssing.=20=0D=0A=20=0D=0AI=20did=20once=20decode=20a=20VLF=20message=20with=20abo= ut=20a=20third=20of=20it=20=0D=0Amissing=20because=20I=20was=20unaware=20that=20= the=20transmission=20was=20coming=20=0D=0Aand=20the=20rx=20and=20PCs=20were=20do= wn=20for=20maintenance.=20=0D=0A=20=0D=0AJust=20for=20fun=20I=20tried=20to=20see= =20how=20little=20of=20the=2021:30=20message=20=0D=0Awas=20actually=20needed=20f= or=20a=20decode.=20=20It=20worked=20with=20108=20seconds=20=0D=0Aof=20signal=20a= nd=201108=20seconds=20missing.=20=0D=0A=20=0D=0A=20=20found=20rank=20206730:=20T= ANGLES=20ps=20[=20=201=20=20180=20=20180=20=20180=20=20180]=20=0D=0A=20=20re-enc= ode=20559/608=20ber=209.19e-01=20=0D=0A=20=0D=0AOf=20the=20608=20transmitted=20s= ymbols,=20554=20were=20missing,=205=20errored,=20=0D=0Aand=2049=20correctly=20de= modulated.=20=20=20Those=2049=20good=20bits=20were=20enough=20=0D=0Ato=20fix=20t= he=20errors=20and=20erasures.=20=0D=0A=20=0D=0AThis=20shows=20that=20an=20erased= =20bit=20is=20much=20less=20distracting=20to=20=0D=0Athe=20decoder=20than=20an=20= errored=20bit.=20=20The=20list=20decoding=20becomes=20=0D=0Avery=20slow=20under=20= these=20conditions=20due=20to=20a=20degenerate=20backward=20=0D=0Apass=20tree.=20= =0D=0A=20=0D=0A--=20=0D=0APaul=20Nicholson=20=0D=0A--=20=0D=0A=20=0D=0A=0D=0A=0D= =0A=20=20=0A=0A ----------MB_8D2F5BB28CC9AF6_1830_526FE_webmail-vd014.sysops.aol.com Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="utf-8" =0D=0ASignal=20got=20better=20later,=20and is=20still visible=20as=20a=20= blue haze=20in=20last=20night's TA=20spectrograms=20https://dl.drop= boxusercontent.com/u/26404526/LF_old/LF_lastnight.htm .=0D=0A=0D=0A= &n= bsp;=0D=0A=0D=0AAll=20messages=20up to=202=20UT decoded=20nicely:<= /div>=0D=0A=0D=0A =0D=0A=0D=0Astart  =20Eb/N0 =20time=20of= fset
=0D=0A UT      =20dB   = ;=20seconds=0D=0A=0D=0A2100    =2010.3   =  =201.1  =20
=0D=0A2130     =20nil=0D=0A2200     =207.2    =203.5=0D=0A2230     =208.8    =204.5=0D=0A2300    =2011.1    =205.8
=0D=0A= 2330    =2011.2    =207.0=0D=0A=0D= =0A0000    =2013.9    =208.1
=0D=0A0030=      =208.0    =209.6
=0D=0A0100=      =208.1   =2011.1
=0D=0A0130 = ;   =2011.6   =2012.0
=0D=0A=0D=0A=0D=0A<= div=20style=3D"color:=20black;=20font-family:=20arial;=20font-size:=2010pt;">=0D=0A=0D=0A
=20The=20time=20offset=20is=20only=20approximate,=20and=20I'm=20= not=20sure=20whether=20the=20first=20second=20is=20due=20to=20a=20lag=20associat= ed=20with=20low=20decimated=20samplerate. But=20the=20average=20rate=20of=20= delay=20accumulation (1.2s=20/=2030min)=20is=20probably=20correct.
=0D= =0A=0D=0A
 
=0D=0A=0D=0A
Thanks=20to=20Paul for=20of=20eb= naut-rx=20version=200.3d.=20I also=20think=20that counting=20all=20mis= sing=20symbols=20as=20errors=20will=20be=20too=20pessimistic.=20Maybe=20it=20mak= es=20sense=20to=20assume=20a=2050%=20error=20rate=20for=20the=20statistics,=20mo= re=20equivalent=20to=20a=20loss=20of=20signal=20e.g.=20due=20to=20propagation.&n= bsp;
=0D=0A=0D=0A
 
=0D=0A=0D=0A
One=20very=20minor=20iss= ue=20I=20noticed=20with=20the=20previous=20version=20is=20that=20it=20crashes=20= when=20rerunning=20after=20having=20increased=20the=20message=20length=20-=20pre= sumably some=20buffer=20becoming=20too=20small.
=0D=0A=0D=0A
 = ;
=0D=0A=0D=0A
=0D=0AThanks = ;also=20from=20here=20to=20all=20participants=20(feline=20and=20human)!=20Next=20step -=20reduce=20frequency=20by=2024.4334=20dB?
=0D=0A=0D=0A<= div=20style=3D"color:=20black;=20font-family:=20arial;=20font-size:=2010pt;">&nb= sp;=0D=0AAll=20the=20best,=0D=0A=0D=0A
Markus=20(DF6NM)
=0D= =0A=0D=0A

=0D=0A 
=0D=0A=0D=0A

=0D=0A
=0D=0A-----= Urspr=C3=BCngliche=20Mitteilung-----=20
=0D=0AVon:=20Paul=20Nicholson=20<v= lf0403@abelian.org>
=0D=0AAn:=20rsgb_lf_group=20<rsgb_lf_group@blackshe= ep.org>
=0D=0AVerschickt:=20Mi,=2025=20Nov=202015=203:57=20pm
=0D=0ABet= reff:=20Re:=20LF:=20EbNaut=20and=20The=20Cat=20/=20Take=203
=0D=0A
=0D=0A=0D= =0AThanks=20to=20all=20for=20the=20in= teresting=20tests.=20=20But=20we=20are=20battling=20
=0D=0Awith=20clocks=20an= d=20oscillators=20rather=20than=20propagation=20and=20noise.=20
=0D=0A=20
= =0D=0AAt=20least=20with=20EbNaut=20nobody=20can=20complain=20that=20the=20operat= or=20is=20
=0D=0Ajust=20installing=20the=20software=20and=20pressing=20'start= '.=20=20It=20does=20
=0D=0Aseem=20like=20that=20with=20some=20modes:=20the=20= computers=20are=20doing=20all=20the=20
=0D=0Acommunicating=20and=20the=20oper= ators=20are=20merely=20spectators.=20=20Clearly=20
=0D=0Anot=20the=20case=20h= ere!=20
=0D=0A=20
=0D=0AI=20cheated=20and=20used=20Markus'=20time=20offset= s=20to=20polish=20my=20decodes:=20
=0D=0A=20
=0D=0A=20=20time=20=20=20Eb/N= 0=20=20=20=20Phase=20
=0D=0A=20=2021:00=20=20=20=209.6=20=20=20=2030=2030=203= 0=2030=20
=0D=0A=20=2021:30=20=20=2013.3=20=20=20=200=200=200=200=20=20=20=20= =20=20=20(offset=201.8=20seconds)=20
=0D=0A=20=2022:00=20=20=2012.0=20=20=20=20= 0=200=2030=2030=20
=0D=0A=20=2022:30=20=20=2010.8=20=20=20=20150=20150=20180=20= 180=20
=0D=0A=20
=0D=0AQuite=20a=20good=20signal=20in=20fact.=2010dB=20too= =20strong=20for=20a=20good=20test=20
=0D=0Abut=20without=20the=20strong=20sig= nal=20it=20would=20have=20been=20harder=20to=20
=0D=0Aidentify=20the=20clock=20= offsets.=20=20We=20don't=20seem=20to=20have=20a=20problem=20
=0D=0Awith=20pha= se=20with=20these=20short=20messages.=20
=0D=0A=20
=0D=0AI've=20updated=20= the=20decoder,=20now=20version=200.3d=20
=0D=0A=20
=0D=0A=20=20http://abelian.org/ebnaut=20=
=0D=0A=20
=0D=0AIt=20counts=20missing=20(padded)=20symbols=20as=20errors=20= when=20calculating=20
=0D=0ABER=20and=20that=20will=20reduce=20Eb/N0.=20=20Th= at's=20not=20really=20the=20correct=20
=0D=0Athing=20to=20do:=20an=20erasure=20= isn't=20quite=20like=20an=20error,=20the=20decoder=20
=0D=0Aonly=20has=20to=20= work=20out=20the=20missing=20bits,=20not=20oppose=20errors=20from=20
=0D=0Ath= e=20demodulator.=20=20=20The=20consequence=20will=20be=20that=20instead=20of=20<= br>=0D=0AEb/N0=20being=20incorrectly=20high,=20it=20will=20now=20be=20incorrectl= y=20low.=20
=0D=0A=20
=0D=0AEg=20I=20just=20tried=20decoding=20less=20than= =20half=20the=2021:30=20message=20and=20
=0D=0Ait=20gave=20
=0D=0A=20
=0D= =0A=20=20found=20rank=200:=20TANGLES=20=20ps=20[=20=201=20=20180=20=20180=20=201= 80=20=20180]=20
=0D=0A=20=20re-encode=20322/608=20ber=205.30e-01=20=20Es/N0=3D= -20.0=20Eb/N0=3D-8.4=20
=0D=0A=20
=0D=0AAny=20BER=20over=2050%=20is=20bogu= s=20and=20the=20Eb/N0=20is=20totally=20meaningless.=20
=0D=0ANevertheless=20t= he=20decoder=20is=20having=20to=20fix=20up=20322=20bits=20here.=20
=0D=0A=20<= br>=0D=0AMaybe=20a=20better=20thing=20to=20do=20is=20just=20sum=20over=20the=20u= n-padded=20
=0D=0Asymbols,=20but=20that's=20still=20not=20quite=20right.=20=20= =20I=20tried=20that=20but=20
=0D=0Ait=20throws=20up=20some=20other=20problems= .=20
=0D=0A=20
=0D=0AProbably=20not=20a=20big=20deal=20either=20way.=20=20= It's=20unusual=20to=20have=20so=20
=0D=0Amuch=20of=20the=20message=20missing.= =20
=0D=0A=20
=0D=0AI=20did=20once=20decode=20a=20VLF=20message=20with=20a= bout=20a=20third=20of=20it=20
=0D=0Amissing=20because=20I=20was=20unaware=20t= hat=20the=20transmission=20was=20coming=20
=0D=0Aand=20the=20rx=20and=20PCs=20= were=20down=20for=20maintenance.=20
=0D=0A=20
=0D=0AJust=20for=20fun=20I=20= tried=20to=20see=20how=20little=20of=20the=2021:30=20message=20
=0D=0Awas=20a= ctually=20needed=20for=20a=20decode.=20=20It=20worked=20with=20108=20seconds=20<= br>=0D=0Aof=20signal=20and=201108=20seconds=20missing.=20
=0D=0A=20
=0D=0A= =20=20found=20rank=20206730:=20TANGLES=20ps=20[=20=201=20=20180=20=20180=20=2018= 0=20=20180]=20
=0D=0A=20=20re-encode=20559/608=20ber=209.19e-01=20
=0D=0A=20=
=0D=0AOf=20the=20608=20transmitted=20symbols,=20554=20were=20missing,=205=20= errored,=20
=0D=0Aand=2049=20correctly=20demodulated.=20=20=20Those=2049=20go= od=20bits=20were=20enough=20
=0D=0Ato=20fix=20the=20errors=20and=20erasures.=20=
=0D=0A=20
=0D=0AThis=20shows=20that=20an=20erased=20bit=20is=20much=20les= s=20distracting=20to=20
=0D=0Athe=20decoder=20than=20an=20errored=20bit.=20=20= The=20list=20decoding=20becomes=20
=0D=0Avery=20slow=20under=20these=20condit= ions=20due=20to=20a=20degenerate=20backward=20
=0D=0Apass=20tree.=20
=0D=0A= =20
=0D=0A--=20
=0D=0APaul=20Nicholson=20
=0D=0A--=20
=0D=0A=20
=0D= =0A
=0D=0A=0D=0A=20=20
=0D=0A ----------MB_8D2F5BB28CC9AF6_1830_526FE_webmail-vd014.sysops.aol.com--