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Advances in Mathematics of Communications

November 2018 , Volume 12 , Issue 4

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Characterization of extended Hamming and Golay codes as perfect codes in poset block spaces
B. K. Dass, Namita Sharma and Rashmi Verma
2018, 12(4): 629-639 doi: 10.3934/amc.2018037 +[Abstract](972) +[HTML](340) +[PDF](366.18KB)
$ {{\mathbb{Z}}_{2}}{{\mathbb{Z}}_{2}}{{\mathbb{Z}}_{4}}$-additive cyclic codes
Tingting Wu, Jian Gao, Yun Gao and Fang-Wei Fu
2018, 12(4): 641-657 doi: 10.3934/amc.2018038 +[Abstract](877) +[HTML](339) +[PDF](409.5KB)
On the dual codes of skew constacyclic codes
Alexis Eduardo Almendras Valdebenito and Andrea Luigi Tironi
2018, 12(4): 659-679 doi: 10.3934/amc.2018039 +[Abstract](747) +[HTML](259) +[PDF](523.41KB)
The results on optimal values of some combinatorial batch codes
Yuebo Shen, Dongdong Jia and Gengsheng Zhang
2018, 12(4): 681-690 doi: 10.3934/amc.2018040 +[Abstract](777) +[HTML](263) +[PDF](344.62KB)
Bent and vectorial bent functions, partial difference sets, and strongly regular graphs
Ayça Çeşmelioğlu and Wilfried Meidl
2018, 12(4): 691-705 doi: 10.3934/amc.2018041 +[Abstract](642) +[HTML](267) +[PDF](390.16KB)
Self-duality of generalized twisted Gabidulin codes
Kamil Otal, Ferruh Özbudak and Wolfgang Willems
2018, 12(4): 707-721 doi: 10.3934/amc.2018042 +[Abstract](763) +[HTML](250) +[PDF](404.35KB)
A class of skew-cyclic codes over $\mathbb{Z}_4+u\mathbb{Z}_4$ with derivation
Amit Sharma and Maheshanand Bhaintwal
2018, 12(4): 723-739 doi: 10.3934/amc.2018043 +[Abstract](812) +[HTML](481) +[PDF](463.68KB)
Computing discrete logarithms in cryptographically-interesting characteristic-three finite fields
Gora Adj, Isaac Canales-Martínez, Nareli Cruz-Cortés, Alfred Menezes, Thomaz Oliveira, Luis Rivera-Zamarripa and Francisco Rodríguez-Henríquez
2018, 12(4): 741-759 doi: 10.3934/amc.2018044 +[Abstract](746) +[HTML](422) +[PDF](470.17KB)
Higher weights and near-MDR codes over chain rings
Zihui Liu and Dajian Liao
2018, 12(4): 761-772 doi: 10.3934/amc.2018045 +[Abstract](671) +[HTML](263) +[PDF](332.98KB)
Efficient decoding of interleaved subspace and Gabidulin codes beyond their unique decoding radius using Gröbner bases
Hannes Bartz and Antonia Wachter-Zeh
2018, 12(4): 773-804 doi: 10.3934/amc.2018046 +[Abstract](842) +[HTML](279) +[PDF](679.49KB)
On $k$-error linear complexity of pseudorandom binary sequences derived from Euler quotients
Zhixiong Chen, Vladimir Edemskiy, Pinhui Ke and Chenhuang Wu
2018, 12(4): 805-816 doi: 10.3934/amc.2018047 +[Abstract](669) +[HTML](281) +[PDF](383.84KB)
Binary subspace codes in small ambient spaces
Daniel Heinlein and Sascha Kurz
2018, 12(4): 817-839 doi: 10.3934/amc.2018048 +[Abstract](626) +[HTML](226) +[PDF](510.77KB)

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