A ring theoretic construction of Hadamard difference sets in $\Bbb Z^n_8 \times \Bbb Z^n_2$
Journal of Algebraic Combinatorics, Tome 22 (2005) no. 2, pp. 181-187.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: Let S= GR($2 ^{3}, n$) S=$\rm $GR(2^3, n) be the Galois ring of characteristic $2 ^{3}$ and rank $n$ and let $R= S[ X]/( X ^{2}, 2 X -4)$ R=S[X]/(X^2, 2X-4) . We give an explicit construction of Hadamard difference sets in $( R,+) @ \Bbb Z _{8} ^{ n}\times \Bbb Z _{2} ^{ n}$ (R,+)$\cong{\Bbb Z}$_8^n$\times{\Bbb Z}$_2^n .
Mots-clés : keywords bent function, finite Frobenius local ring, Galois ring, Hadamard difference set 
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     author = {Hou, Xiang-dong},
     title = {A ring theoretic construction of {Hadamard} difference sets in $\Bbb Z^n_8 \times \Bbb Z^n_2$},
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Hou, Xiang-dong. A ring theoretic construction of Hadamard difference sets in $\Bbb Z^n_8 \times \Bbb Z^n_2$. Journal of Algebraic Combinatorics, Tome 22 (2005) no. 2, pp. 181-187. https://geodesic-test.mathdoc.fr/item/JAC_2005__22_2_a2/