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IEICE Trans

Keyword : Reed-Muller codes

Numerical Results and Asymptotic Lower Bound on the Covering Radius of Reed-Muller Codes RM(2,11) and RM(3,n)
Jinjie GAO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2026/01/01
Vol. E109-A  No. 1 ; pp. 35-46
Type of Manuscript:  PAPER
Category: Cryptography and Information Security
Keyword: 
covering radius, Reed-Muller codes, high-order nonlinearity, monomial Boolean functions, list decoding, 
 Summary | Full Text:PDF
The Covering Radius of the Reed-Muller Code R(3, 7) in R(5, 7) Is 20
Gui LI Qichun WANG Shi SHU 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2019/03/01
Vol. E102-A  No. 3 ; pp. 594-597
Type of Manuscript:  LETTER
Category: Coding Theory
Keyword: 
covering radius, Reed-Muller codes, third-order nonlinearity, Boolean function, 
 Summary | Full Text:PDF
Construction of 16-QAM and 64-QAM OFDM Codes with Low PAPR and Large Euclidean Distance
Houshou CHEN Hsinying LIANG 
Publication:   IEICE TRANSACTIONS on Communications
Publication Date: 2007/08/01
Vol. E90-B  No. 8 ; pp. 1988-1996
Type of Manuscript:  PAPER
Category: Fundamental Theories for Communications
Keyword: 
OFDM, PAPR, BCM, Golay complementary sequences, Reed-Muller codes, squared Euclidean distance, 
 Summary | Full Text:PDF
A Lower Bound for Generalized Hamming Weights and a Condition for t-th Rank MDS
Tomoharu SHIBUYA Ryo HASEGAWA Kohichi SAKANIWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1999/06/25
Vol. E82-A  No. 6 ; pp. 1090-1101
Type of Manuscript:  PAPER
Category: Information Theory and Coding Theory
Keyword: 
generalized Hamming weights, t-th rank MDS, Reed-Solomon codes, Reed-Muller codes, codes on affine algebraic variety, AG codes on Cab, 
 Summary | Full Text:PDF
A Recursive Maximum Likelihood Decoding Algorithm for Some Transitive Invariant Binary Block Codes
Tadao KASAMI Hitoshi TOKUSHIGE Toru FUJIWARA Hiroshi YAMAMOTO Shu LIN 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1998/09/25
Vol. E81-A  No. 9 ; pp. 1916-1924
Type of Manuscript:  PAPER
Category: Information Theory and Coding Theory
Keyword: 
recursive maximum likelihood decoding, transitive invariant codes, Reed-Muller codes, extended BCH codes, 
 Summary | Full Text:PDF
The Weight Distributions of Cosets of the Second-Order Reed-Muller Code of Length 128 in the Third-Order Reed-Muller Code of Length 128
Tadao KASAMI Toru FUJIWARA Yoshihisa DESAKI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1996/04/25
Vol. E79-A  No. 4 ; pp. 600-608
Type of Manuscript:  PAPER
Category: Information Theory and Coding Theory
Keyword: 
linear block codes, Reed-Muller codes, coset and weight distribution, 
 Summary | Full Text:PDF