What does hexacode mean?
Definitions for hexacode
hex·a·code
This dictionary definitions page includes all the possible meanings, example usage and translations of the word hexacode.
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Wiktionary
hexacodenoun
A particular linear code of length 6 and dimension 3.
Wikipedia
Hexacode
In coding theory, the hexacode is a length 6 linear code of dimension 3 over the Galois field G F ( 4 ) = { 0 , 1 , ω , ω 2 } {\displaystyle GF(4)=\{0,1,\omega ,\omega ^{2}\}} of 4 elements defined by H = { ( a , b , c , f ( 1 ) , f ( ω ) , f ( ω 2 ) ) : f ( x ) := a x 2 + b x + c ; a , b , c ∈ G F ( 4 ) } . {\displaystyle H=\{(a,b,c,f(1),f(\omega ),f(\omega ^{2})):f(x):=ax^{2}+bx+c;a,b,c\in GF(4)\}.} It is a 3-dimensional subspace of the vector space of dimension 6 over G F ( 4 ) {\displaystyle GF(4)} . Then H {\displaystyle H} contains 45 codewords of weight 4, 18 codewords of weight 6 and the zero word. The full automorphism group of the hexacode is 3. S 6 {\displaystyle 3.S_{6}} . The hexacode can be used to describe the Miracle Octad Generator of R. T. Curtis.
Wikidata
Hexacode
In coding theory, the hexacode is length 6 linear code of dimension 3 over the Galois field of 4 elements defined by It is a 3-dimensional subspace of the vector space of dimension 6 over . Then contains 45 codewords of weight 4, 18 codewords of weight 6 and the zero word. The full automorphism group of the hexacode is . The hexacode can be used to describe the Miracle Octad Generator of R. T. Curtis.
Numerology
Chaldean Numerology
The numerical value of hexacode in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of hexacode in Pythagorean Numerology is: 2
Translations for hexacode
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- HexacodeGerman
- hexacodePortuguese
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"hexacode." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/hexacode>.
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