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Fractional Dimensional Semifield Planes

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DataCite Commons2020-08-02 更新2025-04-16 收录
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We present a family of irreducible polynomials, where all the x-divisible monomials have trace zero, and use them to show that there are semifields of order 2r, for any odd integer r in [5, 31] except 21 and 27, containing GF(4). Hence these semifields are fractional dimensional.

提供机构:
University of Salento
创建时间:
2013-11-07
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