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Advances in Mathematics of Communications

November 2013 , Volume 7 , Issue 4

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Small Golay sequences
Frank Fiedler
2013, 7(4): 379-407 doi: 10.3934/amc.2013.7.379 +[Abstract](915) +[PDF](569.3KB)
The cross-correlation distribution of a $p$-ary $m$-sequence of period $p^{2k}-1$ and its decimated sequence by $\frac{(p^{k}+1)^{2}}{2(p^{e}+1)}$
Yuhua Sun, Zilong Wang, Hui Li and Tongjiang Yan
2013, 7(4): 409-424 doi: 10.3934/amc.2013.7.409 +[Abstract](1120) +[PDF](401.7KB)
On the dual of (non)-weakly regular bent functions and self-dual bent functions
Ayça Çeşmelioǧlu, Wilfried Meidl and Alexander Pott
2013, 7(4): 425-440 doi: 10.3934/amc.2013.7.425 +[Abstract](1189) +[PDF](390.8KB)
Quotients of orders in cyclic algebras and space-time codes
Frédérique Oggier and B. A. Sethuraman
2013, 7(4): 441-461 doi: 10.3934/amc.2013.7.441 +[Abstract](937) +[PDF](454.7KB)
($\sigma,\delta$)-codes
M'Hammed Boulagouaz and André Leroy
2013, 7(4): 463-474 doi: 10.3934/amc.2013.7.463 +[Abstract](840) +[PDF](346.8KB)
Correlation of binary sequence families derived from the multiplicative characters of finite fields
Zilong Wang and Guang Gong
2013, 7(4): 475-484 doi: 10.3934/amc.2013.7.475 +[Abstract](943) +[PDF](375.2KB)
Empirical optimization of divisor arithmetic on hyperelliptic curves over $\mathbb{F}_{2^m}$
Laurent Imbert, Michael J. Jacobson and Jr.
2013, 7(4): 485-502 doi: 10.3934/amc.2013.7.485 +[Abstract](1072) +[PDF](485.8KB)
The automorphism group of a self-dual $[72,36,16]$ code does not contain $\mathcal S_3$, $\mathcal A_4$ or $D_8$
Martino Borello, Francesca Dalla Volta and Gabriele Nebe
2013, 7(4): 503-510 doi: 10.3934/amc.2013.7.503 +[Abstract](1088) +[PDF](332.4KB)

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