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Suzuki-curve code[1]

Description

Evaluation AG code of rational functions evaluated on points lying on a Suzuki curve.

Cousin

Member of code lists

Primary Hierarchy

Classical Domain
Galois-field Kingdom
\(q\)-ary codeECC
Additive \(q\)-ary codeECC
Linear \(q\)-ary codeECC
Evaluation codeAG ECC
Evaluation AG code
Parents
Evaluation AG code
Suzuki-curve codes are evaluation AG codes with \(\cal X\) being a Suzuki curve.
Suzuki-curve code

References

[1]
J. P. Hansen and H. Stichtenoth, “Group codes on certain algebraic curves with many rational points”, Applicable Algebra in Engineering, Communication and Computing 1, 67 (1990) DOI
[2]
W. Willems, “Codes in Group Algebras”, Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021), pp. 363-384 DOI
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Zoo Code ID: suzuki

Cite as:
“Suzuki-curve code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/suzuki
BibTeX:
@incollection{eczoo_suzuki, title={Suzuki-curve code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/suzuki} }
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Permanent link:
https://errorcorrectionzoo.org/c/suzuki

Cite as:

“Suzuki-curve code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/suzuki

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/q-ary_digits/ag/evaluationAG/suzuki.yml.