In [7] W.M. Kantor and M.E. Williams introduced a family of non- desarguesian symplectic semifields of even order and studied a number of structures connected with such semifields; namely, symplectic spreads, orthogonal spreads and Z4−linear codes. Also, they provided equivalence results concerning such objects, although under certain field restrictions. In this article we will succeed in removing such hypotheses.
A remark on symplectic semifield planes and Z_4-linear codes / Lunardon, Guglielmo; Marino, G.; Polverino, O.; Trombetti, Rocco. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - 69:2(2013), pp. 143-149. [10.1007/s10623-012-9631-4]
A remark on symplectic semifield planes and Z_4-linear codes
LUNARDON, GUGLIELMO;G. Marino;TROMBETTI, ROCCO
2013
Abstract
In [7] W.M. Kantor and M.E. Williams introduced a family of non- desarguesian symplectic semifields of even order and studied a number of structures connected with such semifields; namely, symplectic spreads, orthogonal spreads and Z4−linear codes. Also, they provided equivalence results concerning such objects, although under certain field restrictions. In this article we will succeed in removing such hypotheses.| File | Dimensione | Formato | |
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