GAP (guava) - Index

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### Index

< > 3.2-1 4.1-1
\(A(n,d)\) 7.1-7
\(GF(p)\) 8.2
\(GF(q)\) 8.2
\(t(n,k)\) 4.8-7
`\*`, for codes 4.2-2
for message and code 4.2-3
`\+`, for codes 4.2-1
for codeword and code 3.3-3
for codewords 3.3-1
`\-`, for codewords 3.3-2
`\=`, for codes 4.1-1
for codewords 3.2-1
acceptable coordinate 7.4-2 7.4-3
`AClosestVectorComb..MatFFEVecFFECoords` 8.1-2
`AClosestVectorCombinationsMatFFEVecFFE` 8.1-1
`ActionMoebiusTransformationOnDivisorP1` 5.7-18
`ActionMoebiusTransformationOnFunction` 5.7-17
`AddedElementsCode` 6.1-8
affine code 4.3-13
`AffineCurve` 5.7-1
`AffinePointsOnCurve` 5.7-2
`AlternantCode` 5.2-6
`AmalgamatedDirectSumCode` 6.2-7
`AreMOLS` 7.3-13
`AsSSortedList` 4.5-5
`AugmentedCode` 6.1-6
`AutomorphismGroup` 4.4-3
`BCHCode` 5.5-4
`BestKnownLinearCode` 5.2-14
`BinaryGolayCode` 5.4-1
`BitFlipDecoder` 4.10-5
`BlockwiseDirectSumCode` 6.2-8
Bose distance 5.5-4
bound, Gilbert-Varshamov lower 7.1-9
bound, sphere packing lower 7.1-10
bounds, Elias 7.1-4
bounds, Griesmer 7.1-5
bounds, Hamming 7.1-1
bounds, Johnson 7.1-2
bounds, Plotkin 7.1-3
bounds, Singleton 7.1
bounds, sphere packing bound 7.1-1
`BoundsCoveringRadius` 7.2-1
`BoundsMinimumDistance` 7.1-13
`BZCode` 6.2-11
`BZCodeNC` 6.2-12
check polynomial 4. 5.5
`CheckMat` 4.7-2
`CheckMatCode` 5.2-3
`CheckMatCodeMutable` 5.2-2
`CheckPol` 4.7-4
`CheckPolCode` 5.5-2
`CirculantMatrix` 7.5-17
code 4.
code, \((n,M,d)\) 4.
code, \([n, k, d]r\) 4.
code, AG 5.7
code, alternant 5.2-5
code, Bose-Chaudhuri-Hockenghem 5.5-3
code, conference 5.1-2
code, Cordaro-Wagner 5.2-9
code, cyclic 4.
code, Davydov 5.3-2
code, doubly-even 4.3-10
code, element test 4.3-1
code, elements of 4.
code, evaluation 5.6
code, even 4.3-12
code, Fire 5.5-9
code, Gabidulin 5.3
code, Golay (binary) 5.4
code, Golay (ternary) 5.4-2
code, Goppa (classical) 5.2-6
code, greedy 5.1-6
code, Hadamard 5.1-1
code, Hamming 5.2-3
code, linear 4.
code, maximum distance separable 4.3-7
code, Nordstrom-Robinson 5.1-5
code, perfect 4.3-6
code, Reed-Muller 5.2-4
code, Reed-Solomon 5.5-4
code, self-dual 4.3-8
code, self-orthogonal 4.3-9
code, singly-even 4.3-11
code, Srivastava 5.2-7
code, subcode 4.3-2
code, Tombak 5.3-3
code, toric 5.6-4
code, unrestricted 4.
`CodeDensity` 7.5-4
`CodeDistanceEnumerator` 7.5-2
`CodeIsomorphism` 4.4-2
`CodeMacWilliamsTransform` 7.5-3
`CodeNorm` 7.4-2
codes, addition 4.2-1
codes, decoding 4.2-4
codes, direct sum 4.2-1
codes, encoding 4.2-3
codes, product 4.2-2
`CodeWeightEnumerator` 7.5-1
`Codeword` 3.1-1
`CodewordNr` 3.1-2
codewords, addition 3.3-1
codewords, cosets 3.3-3
codewords, subtraction 3.3-2
`CoefficientMultivariatePolynomial` 7.6-4
`CoefficientToPolynomial` 7.6-8
conference matrix 5.1-3
`ConferenceCode` 5.1-3
`ConstantWeightSubcode` 6.1-18
`ConstructionBCode` 6.1-13
`ConstructionXCode` 6.2-9
`ConstructionXXCode` 6.2-10
`ConversionFieldCode` 6.1-15
`ConwayPolynomial` 8.2-1
`CoordinateNorm` 7.4-1
`CordaroWagnerCode` 5.2-10
coset 3.3-3
`CosetCode` 6.1-17
covering code 4.8-7
`CoveringRadius` 4.8-8
cyclic 5.5-17
`CyclicCodes` 5.5-14
`CyclicMDSCode` 5.5-17
`CyclotomicCosets` 7.5-12
`DavydovCode` 5.3-3
`Decode` 4.10-1
`Decodeword` 4.10-2
`DecreaseMinimumDistanceUpperBound` 4.8-6
defining polynomial 8.2
degree 5.7-7
`DegreeMultivariatePolynomial` 7.6-2
`DegreesMonomialTerm` 7.6-9
`DegreesMultivariatePolynomial` 7.6-3
density of a code 7.5-3
`Dimension` 4.5-4
`DirectProductCode` 6.2-3
`DirectSumCode` 6.2-1
`Display` 4.6-3
`DisplayBoundsInfo` 4.6-4
distance 4.9-3
`DistanceCodeword` 3.6-2
`DistancesDistribution` 4.9-4
`DistancesDistributionMatFFEVecFFE` 8.1-3
`DistancesDistributionVecFFEsVecFFE` 8.1-4
`DistanceVecFFE` 8.1-6
divisor 5.7-4
`DivisorAddition` 5.7-6
`DivisorAutomorphismGroupP1` 5.7-20
`DivisorDegree` 5.7-7
`DivisorGCD` 5.7-11
`DivisorIsZero` 5.7-9
`DivisorLCM` 5.7-12
`DivisorNegate` 5.7-8
`DivisorOfRationalFunctionP1` 5.7-14
`DivisorOnAffineCurve` 5.7-5
`DivisorsEqual` 5.7-10
`DivisorsMultivariatePolynomial` 7.6-10
doubly-even 4.3-9
`DualCode` 6.1-14
`ElementsCode` 5.1-1
encoder map 4.2-3
`EnlargedGabidulinCode` 5.3-2
`EnlargedTombakCode` 5.3-5
equivalent codes 4.4
`EvaluationBivariateCode` 5.7-23
`EvaluationBivariateCodeNC` 5.7-24
`EvaluationCode` 5.6-1
even 4.3-11
`EvenWeightSubcode` 6.1-3
`ExhaustiveSearchCoveringRadius` 7.2-3
`ExpurgatedCode` 6.1-5
`ExtendedBinaryGolayCode` 5.4-2
`ExtendedCode` 6.1-1
`ExtendedDirectSumCode` 6.2-6
`ExtendedReedSolomonCode` 5.5-6
`ExtendedTernaryGolayCode` 5.4-4
external distance 7.2-13
`FerreroDesignCode` 5.2-11
`FireCode` 5.5-10
`FourNegacirculantSelfDualCode` 5.5-18
`FourNegacirculantSelfDualCodeNC` 5.5-19
`GabidulinCode` 5.3-1
Gary code 7.3-1
`GeneralizedCodeNorm` 7.4-4
`GeneralizedReedMullerCode` 5.6-3
`GeneralizedReedSolomonCode` 5.6-2
`GeneralizedReedSolomonDecoderGao` 4.10-3
`GeneralizedReedSolomonListDecoder` 4.10-4
`GeneralizedSrivastavaCode` 5.2-8
`GeneralLowerBoundCoveringRadius` 7.2-4
`GeneralUpperBoundCoveringRadius` 7.2-5
generator polynomial 4. 5.5
`GeneratorMat` 4.7-1
`GeneratorMatCode` 5.2-1
`GeneratorPol` 4.7-3
`GeneratorPolCode` 5.5-1
`GenusCurve` 5.7-3
`GoppaCode` 5.2-7
`GoppaCodeClassical` 5.7-22
`GOrbitPoint` 5.7-4
`GrayMat` 7.3-2
greatest common divisor 5.7-11
`GreedyCode` 5.1-7
Griesmer code 7.1-6
`GuavaVersion` 7.6-6
Hadamard matrix 5.1-2 7.3-3
`HadamardCode` 5.1-2
`HadamardMat` 7.3-4
Hamming metric 8.1-5
`HammingCode` 5.2-4
`HorizontalConversionFieldMat` 7.3-10
hull 6.2-4
`in` 4.3-1
`IncreaseCoveringRadiusLowerBound` 7.2-2
information bits 4.2-4
`InformationWord` 4.2-4
`InnerDistribution` 4.9-3
`IntersectionCode` 6.2-4
`IrreduciblePolynomialsNr` 7.5-9
`IsActionMoebiusTransformationOnDivisorDefinedP1` 5.7-19
`IsAffineCode` 4.3-14
`IsAlmostAffineCode` 4.3-15
IsCheapConwayPolynomial 8.2-1
`IsCode` 4.3-3
`IsCodeword` 3.1-3
`IsCoordinateAcceptable` 7.4-3
`IsCyclicCode` 4.3-5
`IsDoublyEvenCode` 4.3-10
`IsEquivalent` 4.4-1
`IsEvenCode` 4.3-12
`IsFinite` 4.5-1
`IsGriesmerCode` 7.1-7
`IsInStandardForm` 7.3-7
`IsLatinSquare` 7.3-12
`IsLinearCode` 4.3-4
`IsMDSCode` 4.3-7
`IsNormalCode` 7.4-5
`IsPerfectCode` 4.3-6
IsPrimitivePolynomial 8.2-2
`IsSelfComplementaryCode` 4.3-13
`IsSelfDualCode` 4.3-8
`IsSelfOrthogonalCode` 4.3-9
`IsSinglyEvenCode` 4.3-11
`IsSubset` 4.3-2
`Krawtchouk` 7.5-6
`KrawtchoukMat` 7.3-1
Latin square 7.3-10
LDPC 5.8
least common multiple 5.7-12
`LeftActingDomain` 4.5-3
length 4.
`LengthenedCode` 6.1-10
`LexiCode` 5.1-8
linear code 3.
`LowerBoundCoveringRadiusCountingExcess` 7.2-9
`LowerBoundCoveringRadiusEmbedded1` 7.2-10
`LowerBoundCoveringRadiusEmbedded2` 7.2-11
`LowerBoundCoveringRadiusInduction` 7.2-12
`LowerBoundCoveringRadiusSphereCovering` 7.2-6
`LowerBoundCoveringRadiusVanWee1` 7.2-7
`LowerBoundCoveringRadiusVanWee2` 7.2-8
`LowerBoundGilbertVarshamov` 7.1-10
`LowerBoundMinimumDistance` 7.1-9
`LowerBoundSpherePacking` 7.1-11
MacWilliams transform 7.5-2
`MatrixRepresentationOfElement` 7.5-10
`MatrixRepresentationOnRiemannRochSpaceP1` 5.7-21
`MatrixTransformationOnMultivariatePolynomial` 7.6-1
maximum distance separable 7.1-1
MDS 4.3-7 5.5-17
minimum distance 4.
`MinimumDistance` 4.8-3
`MinimumDistanceLeon` 4.8-4
`MinimumDistanceRandom` 4.8-7
`MinimumWeight` 4.8-5
`MinimumWeightWords` 4.9-1
`MoebiusTransformation` 5.7-16
`MOLS` 7.3-11
`MOLSCode` 5.1-4
`MostCommonInList` 7.5-15
`MultiplicityInList` 7.5-14
mutually orthogonal Latin squares 7.3-10
`NearestNeighborDecodewords` 4.10-7
`NearestNeighborGRSDecodewords` 4.10-6
`NordstromRobinsonCode` 5.1-6
norm of a code 7.4-1
normal code 7.4-4
not = 3.2-1 4.1-1
`NrCyclicCodes` 5.5-15
`NullCode` 5.5-12
`NullWord` 3.6-1
`OnePointAGCode` 5.7-25
`OptimalityCode` 5.2-13
order of polynomial 5.5-10
`OuterDistribution` 4.9-5
Parity check 6.1
parity check matrix 4.
perfect 7.1-1
perfect code 7.5-4
permutation equivalent codes 4.4
PermutationAutomorphismGroup 4.4-3
`PermutationAutomorphismGroup` 4.4-4
`PermutationDecode` 4.10-11
`PermutationDecodeNC` 4.10-12
`PermutedCode` 6.1-4
`PermutedCols` 7.3-8
`PiecewiseConstantCode` 6.1-20
point 5.7-1
`PolyCodeword` 3.4-2
primitive element 8.2
`PrimitivePolynomialsNr` 7.5-8
`PrimitiveUnityRoot` 7.5-7
`Print` 4.6-1
`PuncturedCode` 6.1-2
`PutStandardForm` 7.3-6
`QCLDPCCodeFromGroup` 5.8-1
`QQRCode` 5.5-9
`QQRCodeNC` 5.5-8
`QRCode` 5.5-7
`QuasiCyclicCode` 5.5-16
`RandomCode` 5.1-5
`RandomLinearCode` 5.2-12
`RandomPrimitivePolynomial` 8.2-2
reciprocal polynomial 7.5-10
`ReciprocalPolynomial` 7.5-11
`Redundancy` 4.8-2
`ReedMullerCode` 5.2-5
`ReedSolomonCode` 5.5-5
`RemovedElementsCode` 6.1-7
`RepetitionCode` 5.5-13
`ResidueCode` 6.1-12
`RiemannRochSpaceBasisFunctionP1` 5.7-13
`RiemannRochSpaceBasisP1` 5.7-15
`RootsCode` 5.5-3
`RootsOfCode` 4.7-5
`RotateList` 7.5-16
self complementary code 4.3-12
self-dual 5.5-18 6.1-14
self-orthogonal 4.3-8
`SetCoveringRadius` 4.8-9
`ShortenedCode` 6.1-9
singly-even 4.3-10
size 4.
`Size` 4.5-2
`SolveLinearSystem` 7.6-5
`SphereContent` 7.5-5
`SrivastavaCode` 5.2-9
standard form 7.3-5
`StandardArray` 4.10-10
`StandardFormCode` 6.1-19
strength 7.2-15
`String` 4.6-2
`SubCode` 6.1-11
`Support` 3.6-3
support 5.7-4
`SylvesterMat` 7.3-3
`Syndrome` 4.10-8
syndrome table 4.10-9
`SyndromeTable` 4.10-9
`TernaryGolayCode` 5.4-3
`TombakCode` 5.3-4
`ToricCode` 5.6-5
`ToricPoints` 5.6-4
`TraceCode` 6.1-16
`TreatAsPoly` 3.5-2
`TreatAsVector` 3.5-1
`UnionCode` 6.2-5
`UpperBound` 7.1-8
`UpperBoundCoveringRadiusCyclicCode` 7.2-17
`UpperBoundCoveringRadiusDelsarte` 7.2-14
`UpperBoundCoveringRadiusGriesmerLike` 7.2-16
`UpperBoundCoveringRadiusRedundancy` 7.2-13
`UpperBoundCoveringRadiusStrength` 7.2-15
`UpperBoundElias` 7.1-5
`UpperBoundGriesmer` 7.1-6
`UpperBoundHamming` 7.1-2
`UpperBoundJohnson` 7.1-3
`UpperBoundMinimumDistance` 7.1-12
`UpperBoundPlotkin` 7.1-4
`UpperBoundSingleton` 7.1-1
`UUVCode` 6.2-2
`VandermondeMat` 7.3-5
`VectorCodeword` 3.4-1
`VerticalConversionFieldMat` 7.3-9
weight enumerator polynomial 7.5
`WeightCodeword` 3.6-4
`WeightDistribution` 4.9-2
`WeightHistogram` 7.5-13
`WeightVecFFE` 8.1-5
`WholeSpaceCode` 5.5-11
`WordLength` 4.8-1
`ZechLog` 7.6-7

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