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Discrete Mathematics Using Latin Squares
LATIN SQUARES. A Brief Introduction to Latin Squares. Mutually Orthogonal Latin Squares. GENERALIZATIONS. Orthogonal Hypercubes. Frequency Squares. RELATED MATHEMATICS. Principle ofExpand
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Handbook of Finite Fields
  • G. Mullen, D. Panario
  • Mathematics, Computer Science
  • Discrete mathematics and its applications
  • 17 June 2013
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. Expand
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Existence and properties of k-normal elements over finite fields
An element α ? F q n is normal over F q if { α , α q , ? , α q n - 1 } is a basis for F q n over F q . It is well known that α ? F q n is normal over F q if and only if the polynomials g α ( x ) = αExpand
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Primitive polynomials over finite fields
In this note we extend the range of previously published tables of primitive polynomials over finite fields. For each p" < 1050 with p < 97 we provide a primitive polynomial of degree n over Fp .Expand
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Reversed Dickson polynomials over finite fields
We study reversed Dickson polynomials with emphasis on their permutational properties over finite fields. Expand
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Finite fields, coding theory, and advances in communications and computing
The refereed proceedings of the First International Conference on Finite Fields, Coding Theory, and Advances in Communications and Computing. Expand
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Distribution of irreducible polynomials of small degrees over finite fields
An asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. Expand
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Products of mixed covering arrays of strength two
A covering arrayCA(N;t,k, v is an N × k array such that every N × t subarray contains all t-tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used toExpand
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