[1] |
MACWILLIAMS F , SLOANE N . The theory of error-correcting codes[M]. North Holland: ElsevierPress, 1977.
|
[2] |
ASSMUS E F , KEY J D . Designs and their codes[M]. Cambridge: Cambridge University PressPress, 1992.
|
[3] |
MASSEY J L , . Some applications of coding theory in cryptography[C]// Fourth the Institute of Mathematics and its Applications (IMA) Conference on Cryptography and Coding. 1995: 33-47.
|
[4] |
HUFFMAN W , PLESS V . Fundamentals of error-correcting codes[M]. Cambridge: Cambridge University PressPress, 2003.
|
[5] |
DING C . Cyclic codes from the two-prime sequences[J]. IEEE Transactions on Information Theory, 2012,58(6): 3881-3891.
|
[6] |
DING C . Cyclic codes from cyclotomic sequences of order four[J]. Finite Fields and Their Applications, 2013,23(96): 8-34.
|
[7] |
CARLET C , DING C , YUAN J . Linear codes from highly nonlinear functions and their secret sharing schemes[J]. IEEE Transactions on Information Theory, 2005,51(6): 2089-2102.
|
[8] |
DING C , HELLESETH T . Optimal ternary cyclic codes from monomials[J]. IEEE Transactions on Information Theory, 2013,59(9): 5898-5904.
|
[9] |
LI N , ZHOU Z , HELLESETH T . On a conjecture about a class of optimal ternary cyclic codes[C]// Seventh International Workshop on Signal Design and its Applications in Communications. 2015: 62-65.
|
[10] |
LI N , LI C , HELLESETH T ,et al. Optimal ternary cyclic codes with minimum distance four and five[J]. Finite Fields and Their Applications, 2014,30(6): 100-120.
|
[11] |
LI C , LI N , HELLESETH T ,et al. The weight distributions of several classes of cyclic codes from APN monomials[J]. IEEE Transaction on Information Theory, 2014,60(8): 4710-4721.
|
[12] |
XU G , CAO X , XU S . Optimal p-ary cyclic codes with minimum distance four from monomials[J]. Cryptography and Communications, 2016,8(4): 541-554.
|
[13] |
YUAN J , CARLET C , DING C . The weight distribution of a class of linear codes from perfect nonlinear functions[J]. IEEE Transactions on Information Theory, 2006,52(2): 712-717.
|
[14] |
ZHA Z , WANG X . Almost perfect nonlinear power functions in odd characteristic[J]. IEEE Transaction on Information Theory, 2011,57(7): 4826-4832.
|
[15] |
FENG K , LUO J . Value distributions of exponential sums from perfect nonlinear functions and their applications[J]. IEEE Transactions on Information Theory, 2007,53(9): 3035-3041.
|
[16] |
LI C , QU L , LING S . On the covering structures of two classes of linear codes from perfect nonlinear functions[J]. IEEE Transactions on Information Theory, 2009,55(1): 70-82.
|
[17] |
VAN LINT J . A survey of perfect codes[J]. Journal of Mathematics, 1975,5(2): 199-224.
|
[18] |
ZHOU Z , DING C . A class of three-weight cyclic codes[J]. Finite Fields and Their Applications, 2014,25: 79-93.
|
[19] |
ZHOU Z , DING C . Seven classes of three-weight cyclic codes[J]. IEEE Transactions on Communications, 2013,61(10): 4120-4126.
|
[20] |
YU L , LIU H . The weight distribution of a family of p-ary cyclic codes[J]. Designs,Codes and Cryptography, 2016,78(3): 1-15.
|
[21] |
KAGEYAMA Y , MARUTA T . On the geometric constructions of optimal linear codes[J]. Designs,Codes and Cryptography, 2016,81(3): 469-480.
|
[22] |
ZHENG D , WANG X , YU L . The weight enumerators of several classes of p-ary cyclic codes[J]. Discrete Mathematics, 2015,338(7): 1264-1276.
|