This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2008.10.31) 18 DEC 2008 14:25
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**guava
(./guava.tex
LaTeX2e <2005/12/01>
Babel <v3.8h> and hyphenation patterns for english, usenglishmax, dumylang, noh
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\OT1/ptm/m/n/10 Cur-rently known bugs and sug-gested \OT1/phv/m/n/10 GUAVA \OT1
/ptm/m/n/10 projects are listed on the bugs and projects web page
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[3] (./guava.toc
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Chapter 1.
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Chapter 2.
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\OT1/ptm/m/n/10.95 This is also called the (Ham-ming) dis-tance be-tween $\OML/
ptmcm/m/it/10.95 v \OT1/ptmcm/m/n/10.95 = (\OML/ptmcm/m/it/10.95 v[]; :::; v[]\
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Chapter 3.
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Chapter 4.
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[]\OT1/ptm/m/n/10.95 The re-sult re-turned is a record with two fields; the fir
st, \OT1/pcr/m/n/10.95 mindist\OT1/ptm/m/n/10.95 , gives the low-est
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\OT1/ptm/m/n/10.95 rectly, so the com-mand was only found af-ter read-ing all t
he \OT1/ptm/m/it/10.95 *.gi \OT1/ptm/m/n/10.95 files in the \OT1/phv/m/n/10.95
GUAVA \OT1/ptm/m/n/10.95 li-
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[]
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[]\OT1/ptm/m/n/10.95 For long codes, this method is faster in prac-tice than th
e in-ter-po-la-tion method used in
[]
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[]\OT1/ptm/m/n/10.95 This uses \OT1/pcr/m/n/10.95 AutomorphismGroup \OT1/ptm/m/
n/10.95 in the bi-nary case, and (the slower)
[]
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[63]
Chapter 5.
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[64
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[]\OT1/ptm/m/n/10.95 The four forms this com-mand can take are \OT1/pcr/m/n/10.
95 HadamardCode(H,t)\OT1/ptm/m/n/10.95 , \OT1/pcr/m/n/10.95 HadamardCode(H)\OT1
/ptm/m/n/10.95 ,
[]
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[65]
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[66]
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[]\OT1/ptm/m/n/10.95 The func-tion \OT1/pcr/m/n/10.95 RandomLinearCode \OT1/ptm
/m/n/10.95 re-turns a ran-dom lin-ear code (see \OT1/pcr/m/n/10.95 RandomLinear
Code
[]
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[67]
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[]\OT1/ptm/m/n/10.95 The next func-tions we de-scribe gen-er-ate some well-know
n codes, like Ham-ming codes
[]
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[68]
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[74] [75]
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[78]
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[]\OT1/ptm/m/n/10.95 Finally we de-scribe the triv-ial codes (see \OT1/pcr/m/n/
10.95 WholeSpaceCode \OT1/ptm/m/n/10.95 ([][]5.5.11[][]), \OT1/pcr/m/n/10.95 Nu
llCode \OT1/ptm/m/n/10.95 ([][]5.5.12[][]),
[]
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\OT1/pcr/m/n/10.95 RepetitionCode \OT1/ptm/m/n/10.95 ([][]5.5.13[][])), and the
com-mand \OT1/pcr/m/n/10.95 CyclicCodes \OT1/ptm/m/n/10.95 which lists all cyc
lic codes
[]
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[84]
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[87] [88]
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[]
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[]\OT1/ptm/m/n/10.95 This com-mand re-turns a "record" ob-ject \OT1/pcr/m/n/10.
95 C \OT1/ptm/m/n/10.95 with sev-eral ex-tra com-po-nents (type
[]
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[]
[89]
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[]\OT1/ptm/m/n/10.95 This com-mand re-turns a "record" ob-ject \OT1/pcr/m/n/10.
95 C \OT1/ptm/m/n/10.95 with sev-eral ex-tra com-po-nents (type
[]
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\OT1/pcr/m/n/10.95 NamesOfComponents(C) \OT1/ptm/m/n/10.95 to see them all): \O
T1/pcr/m/n/10.95 C!.points \OT1/ptm/m/n/10.95 (namely []), \OT1/pcr/m/n/10.95 C
!.degree \OT1/ptm/m/n/10.95 (namely []),
[]
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[]\OT1/ptm/m/n/10.95 The weighted ver-sion has im-ple-mented with the op-tion
[]
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[]
[90]
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[]\OT1/ptm/m/n/10.95 This com-mand re-turns a "record" ob-ject \OT1/pcr/m/n/10.
95 C \OT1/ptm/m/n/10.95 with sev-eral ex-tra com-po-nents (type
[]
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[95]
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[103]
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[]\OT1/ptm/m/n/10.95 This com-mand re-turns a "record" ob-ject \OT1/pcr/m/n/10.
95 C \OT1/ptm/m/n/10.95 with sev-eral ex-tra com-po-nents (type
[]
[104] [105]
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[]
[106] [107]
Chapter 6.
Underfull \hbox (badness 1127) in paragraph at lines 5789--5791
\OT1/ptm/m/n/10.95 ([][]6.1.6[][]), \OT1/pcr/m/n/10.95 RemovedElementsCode \OT1
/ptm/m/n/10.95 ([][]6.1.7[][]), \OT1/pcr/m/n/10.95 AddedElementsCode \OT1/ptm/m
/n/10.95 ([][]6.1.8[][]), \OT1/pcr/m/n/10.95 ShortenedCode \OT1/ptm/m/n/10.95 (
[][]6.1.9[][]),
[]
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\OT1/pcr/m/n/10.95 LengthenedCode \OT1/ptm/m/n/10.95 ([][]6.1.10[][]), \OT1/pcr
/m/n/10.95 ResidueCode \OT1/ptm/m/n/10.95 ([][]6.1.12[][]), \OT1/pcr/m/n/10.95
ConstructionBCode \OT1/ptm/m/n/10.95 ([][]6.1.13[][]), \OT1/pcr/m/n/10.95 DualC
ode
[]
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[108
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\OT1/ptm/m/n/10.95 To undo ex-tend-ing, call \OT1/pcr/m/n/10.95 PuncturedCode \
OT1/ptm/m/n/10.95 (see \OT1/pcr/m/n/10.95 PuncturedCode \OT1/ptm/m/n/10.95 ([][
]6.1.2[][])). The func-tion
[]
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[123]
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[124] [125]
Chapter 7.
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[]\OT1/ptm/m/n/10.95 Firstly, we de-scribe func-tions that com-pute spe-cific u
p-per bounds on the code size
[]
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[128]
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[129]
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[130]
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[]\OT1/ptm/m/n/10.95 The re-sult-ing record can be used in the func-tion \OT1/p
cr/m/n/10.95 BestKnownLinearCode \OT1/ptm/m/n/10.95 (see
[]
[131]
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[]
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[]\OT1/ptm/m/n/10.95 If the cov-er-ing ra-dius of [] is known, a list of length
1 is re-turned.
[]
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\OT1/pcr/m/n/10.95 BoundsCoveringRadius \OT1/ptm/m/n/10.95 makes use of the fun
c-tions \OT1/pcr/m/n/10.95 GeneralLowerBoundCoveringRadius
[]
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[]
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[]\OT1/ptm/m/n/10.95 This com-mand can also be called us-ing the syn-tax \OT1/p
cr/m/n/10.95 LowerBoundCoveringRadiusSphereCovering(
[]
[134]
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[]\OT1/ptm/m/n/10.95 This com-mand can also be called with \OT1/pcr/m/n/10.95 L
owerBoundCoveringRadiusEmbedded1( n, r
[]
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[]\OT1/ptm/m/n/10.95 Sometimes \OT1/pcr/m/n/10.95 LowerBoundCoveringRadiusEmbed
ded1 \OT1/ptm/m/n/10.95 is bet-ter than
[]
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[]\OT1/ptm/m/n/10.95 This com-mand can also be called with \OT1/pcr/m/n/10.95 L
owerBoundCoveringRadiusEmbedded2( n, r
[]
[137]
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[]\OT1/ptm/m/n/10.95 Sometimes \OT1/pcr/m/n/10.95 LowerBoundCoveringRadiusEmbed
ded1 \OT1/ptm/m/n/10.95 is bet-ter than
[]
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[147]
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[148]
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[]\OT1/ptm/m/n/10.95 If [] is a code-word, then \OT1/pcr/m/n/10.95 CodeDistance
Enumerator \OT1/ptm/m/n/10.95 re-turns the same poly-no-mial as
[]
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[149]
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[152]
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[153]
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[]
[158] [159] [160] [161] [162] (./guava.bbl (./guava.brf)
\tf@brf=\write7
\openout7 = `guava.brf'.
[163]
! Missing { inserted.
<to be read again>
$
l.24
A left brace was mandatory here, so I've put one in.
You might want to delete and/or insert some corrections
so that I will find a matching right brace soon.
(If you're confused by all this, try typing `I}' now.)
! Missing } inserted.
<inserted text>
}
l.24
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
[164
]) (./guava.ind [165]
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[]\OT1/pcr/m/n/10.95 AClosestVectorComb..MatFFEVecFFECoords\OT1/ptm/m/n/10.95 ,
[]
Underfull \hbox (badness 10000) in paragraph at lines 18--20
[]\OT1/pcr/m/n/10.95 AClosestVectorCombinationsMatFFEVecFFE\OT1/ptm/m/n/10.95 ,
[]
Underfull \hbox (badness 10000) in paragraph at lines 20--22
[]\OT1/pcr/m/n/10.95 ActionMoebiusTransformationOnDivisorP1
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[170]) (./guava.aux)
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Mandriva
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