Simplex code
Considered as (n, k) codes (see block code), they have codeword length n = qk − 1 Binary simplex codes have a minimum Hamming distance equal to 2k-1. They can be regarded as Reed-Muller codes shortened by one digit, and are identical with the m-sequences ,A punctured simplex code is known as a MacDonald code [3], with parameters [ [ 2 m − 2 u , m , 2 m − 1 − 2 u − 1 ] ] for u ≤ m − 1 [4]. ,The simplex code meets the Griesmer bound and is therefore a linear code with the lowest possible length s for given dimension n and distance bnâˆ'1. ,A punctured simplex code is known as a q -ary MacDonald code [3], with parameters [ [ q m − q u q − 1 , m , q m − 1 − q u − 1 ] ] q for u ≤ m − 1 [4]. ,由 M Battaglioni 著作 · 2022 · 被引用 5 次 — Simplex codes are duals of Hamming codes [1]. In poly- nomial representation, for a binary finite field, they exhibit a parity-check matrix H ... ,由 T Helleseth 著作 · 1985 · 被引用 17 次 — We prove the uniqueness of the coset of highest weight for the simplex code, and that there is no full-rank coset of weight one less if the dimension is 5 ... ,In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword. ,2019年6月8日 — (Extra note: This is a “simplex” code [7,3] with generator matrix A. It is closely related to a certain “Hamming” code [7,4].),由 HDL Hollmann 著作 · 2023 · 被引用 4 次 — The binary k-dimensional simplex code is known to be a -batch code and is conjectured to be a -functional batch code. ,simplex code · 單式碼. 相關詞彙; 詞彙建議. 學術名詞. 單式碼. simplex code · 單體；單純. simplex · 單工，單工機. simplex · 簡單；單顯性組合. simplex · 單純形；單工.
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 Simplex code 相關參考資料
Simplex codes - Oxford Reference
Considered as (n, k) codes (see block code), they have codeword length n = qk − 1 Binary simplex codes have a minimum Hamming distance equal to 2k-1. They can be regarded as Reed-Muller codes shortene... https://www.oxfordreference.co ([2^m-1,m,2^m-1}]) simplex code
A punctured simplex code is known as a MacDonald code [3], with parameters [ [ 2 m − 2 u , m , 2 m − 1 − 2 u − 1 ] ] for u ≤ m − 1 [4]. https://errorcorrectionzoo.org Simplex Code
The simplex code meets the Griesmer bound and is therefore a linear code with the lowest possible length s for given dimension n and distance bnâˆ'1. http://mint.sbg.ac.at (q)-ary simplex code
A punctured simplex code is known as a q -ary MacDonald code [3], with parameters [ [ q m − q u q − 1 , m , q m − 1 − q u − 1 ] ] q for u ≤ m − 1 [4]. https://errorcorrectionzoo.org Punctured Binary Simplex Codes as LDPC codes
由 M Battaglioni 著作 · 2022 · 被引用 5 次 — Simplex codes are duals of Hamming codes [1]. In poly- nomial representation, for a binary finite field, they exhibit a parity-check matrix H ... https://arxiv.org ON THE COSETS OF THE SIMPLEX CODE
由 T Helleseth 著作 · 1985 · 被引用 17 次 — We prove the uniqueness of the coset of highest weight for the simplex code, and that there is no full-rank coset of weight one less if the dimension is 5 ..... https://www.sciencedirect.com Linear code
In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword. https://en.wikipedia.org Hamming and simplex code and algebra
2019年6月8日 — (Extra note: This is a “simplex” code [7,3] with generator matrix A. It is closely related to a certain “Hamming” code [7,4].) https://math.stackexchange.com On some batch code properties of the simplex code
由 HDL Hollmann 著作 · 2023 · 被引用 4 次 — The binary k-dimensional simplex code is known to be a -batch code and is conjectured to be a -functional batch code. https://link.springer.com 單式碼 - 樂詞網- 國家教育研究院
simplex code · 單式碼. 相關詞彙; 詞彙建議. 學術名詞. 單式碼. simplex code · 單體；單純. simplex · 單工，單工機. simplex · 簡單；單顯性組合. simplex · 單純形；單工. https://terms.naer.edu.tw |