The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
우리는 계산 복잡도를 줄이기 위해 재귀 알고리즘을 제안합니다. r- 차수 비선형성 n-변수 부울 함수. 알고리즘을 적용하고 [1]이 제시한 충분조건과 필요조건을 사용하여 대부분의 쓸모없는 검색 분기를 잘라내면 Reed-Muller 코드의 커버리지 반경이 다음과 같이 표시됩니다. R(3, 7) 에 R(5, 7)은 20입니다.
Gui LI
Xiangtan University
Qichun WANG
Nanjing Normal University
Shi SHU
Xiangtan University
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Gui LI, Qichun WANG, Shi SHU, "The Covering Radius of the Reed-Muller Code R(3, 7) in R(5, 7) Is 20" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 3, pp. 594-597, March 2019, doi: 10.1587/transfun.E102.A.594.
Abstract: We propose a recursive algorithm to reduce the computational complexity of the r-order nonlinearity of n-variable Boolean functions. Applying the algorithm and using the sufficient and necessary condition put forward by [1] to cut the vast majority of useless search branches, we show that the covering radius of the Reed-Muller Code R(3, 7) in R(5, 7) is 20.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.594/_p
부
@ARTICLE{e102-a_3_594,
author={Gui LI, Qichun WANG, Shi SHU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Covering Radius of the Reed-Muller Code R(3, 7) in R(5, 7) Is 20},
year={2019},
volume={E102-A},
number={3},
pages={594-597},
abstract={We propose a recursive algorithm to reduce the computational complexity of the r-order nonlinearity of n-variable Boolean functions. Applying the algorithm and using the sufficient and necessary condition put forward by [1] to cut the vast majority of useless search branches, we show that the covering radius of the Reed-Muller Code R(3, 7) in R(5, 7) is 20.},
keywords={},
doi={10.1587/transfun.E102.A.594},
ISSN={1745-1337},
month={March},}
부
TY - JOUR
TI - The Covering Radius of the Reed-Muller Code R(3, 7) in R(5, 7) Is 20
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 594
EP - 597
AU - Gui LI
AU - Qichun WANG
AU - Shi SHU
PY - 2019
DO - 10.1587/transfun.E102.A.594
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2019
AB - We propose a recursive algorithm to reduce the computational complexity of the r-order nonlinearity of n-variable Boolean functions. Applying the algorithm and using the sufficient and necessary condition put forward by [1] to cut the vast majority of useless search branches, we show that the covering radius of the Reed-Muller Code R(3, 7) in R(5, 7) is 20.
ER -