Linear codes with few weights from inhomogeneous quadratic functions
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Publication:521872
DOI10.1007/s10623-016-0267-7zbMath1359.94389arXiv1602.01511OpenAlexW2293931389MaRDI QIDQ521872
Can Xiang, Chun-Ming Tang, Ke Qin Feng
Publication date: 12 April 2017
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.01511
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cyclic codes (94B15) Decoding (94B35) Coding theorems (Shannon theory) (94A24)
Related Items (17)
Weight distributions of two classes of linear codes with five or six weights ⋮ Several classes of binary linear codes and their weight enumerators ⋮ Constructions of linear codes with two or three weights from vectorial dual-bent functions ⋮ Construction of minimal linear codes with few weights from weakly regular plateaued functions ⋮ Some shortened codes from linear codes constructed by defining sets ⋮ Constructions of cyclic codes and extended primitive cyclic codes with their applications ⋮ Some subfield codes from MDS codes ⋮ Infinite Families of 2-Designs from a Class of Linear Codes Related to Dembowski-Ostrom Functions ⋮ New infinite families of near MDS codes holding \(t\)-designs ⋮ Further projective binary linear codes derived from two-to-one functions and their duals ⋮ Minimal linear codes from weakly regular plateaued balanced functions ⋮ Linear codes from vectorial Boolean power functions ⋮ Weight distributions and weight hierarchies of two classes of binary linear codes ⋮ Two families of subfield codes with a few weights ⋮ Weight hierarchies of a family of linear codes associated with degenerate quadratic forms ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes ⋮ Complete weight enumerators of a class of linear codes with two or three weights
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