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\OT1/ptm/m/n/10 Cur-rently known bugs and sug-gested \OT1/phv/m/n/10 GUAVA \OT1
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Chapter 1.
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Chapter 2.
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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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[]\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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Chapter 5.

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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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[]\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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[]\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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[]\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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[]\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/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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[]\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/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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[104] [105]
Chapter 6.

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\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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\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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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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[]\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
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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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[]\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(
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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
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[]\OT1/ptm/m/n/10.95 Sometimes \OT1/pcr/m/n/10.95 LowerBoundCoveringRadiusEmbed
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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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Chapter 8.

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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 9.
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[]\OT1/ptm/m/n/10.95 A. E. Brouwer.  Bounds on the min-i-mum dis-tance of lin-e
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