On a family of codes related to factorizations of cyclotomic polynomials. S. Michaelson, R. Milner (Eds.), Automata, Languages, and Programming, Edinburgh ...
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Apr 24, 2022 · Factoring cyclotomic polynomials in tree form · group-theory · finite-groups · algebraic-number-theory · cyclotomic-polynomials · cyclotomic-fields.
Missing: Family Codes
This explains the usefulness of cyclotomic polynomials in factoring: they are intimately related to the structure of the group ring. In our algorithm, we ...
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Jan 1, 1978 · Using factorizations of the polynomial (1 xn)/(1 x) we determine all monoids that are unions of groups, have a nontrivial group of units, ...
There is a remarkable amount of mathematics to be discovered just by factoring poly- nomials of the form xn − 1 with n ∈ N. To get started, consider.
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May 15, 2015 · If n is a positive integer, then the nth cyclotomic polynomial is de- fined as the unique monic polynomial having exactly the primitive nth.
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Nov 29, 2021 · A family of polynomials F_m(x) depending on f(x) is constructed with the properties: (i) there is exactly one irreducible factor \Phi_{d,f}(x) for F_m(x) for
Dec 15, 2019 · irreducible polynomial f(x) of a given moderate degree d and an integer m with f(m) = n, the number to be factored. So, the algorithm sets m ...
Missing: Family Codes
Jun 25, 2011 · We study the explicit factorization of 2n r-th cyclotomic polynomials over finite field F q where q, r are odd with (r, q) = 1.
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The techniques introduced in this paper involve the factorization of Dn(x r) over the rational field, the factorization of tDn(a) over the integers, and, for ...
Missing: Family Codes