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Integer Convolutions over the Finite Field $GF( {3 \cdot 2^n + 1} )$

✍ Scribed by Golomb, S. W.; Reed, I. S.; Truong, T. K.

Book ID: 118195733
Publisher: Society for Industrial and Applied Mathematics
Year: 1977
Tongue: English
Weight: 805 KB
Volume: 32
Category: Article
ISSN: 0036-1399
DOI: 10.1137/0132029

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Factorization of the Cyclotomic Polynomi

Factorization of the Cyclotomic Polynomialx2n+ 1 over Finite Fields

✍ Helmut Meyn 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 152 KB

The aim of this note is to show that the (well-known) factorization of the 2 nϩ1 th cyclotomic polynomial x 2 n ϩ 1 over GF(q) with q ϵ 1 (mod 4) can be used to prove the (more complicated) factorization of this polynomial over GF(q) with q ϵ 3 (mod 4).