Title of article :
Swanʹs theorem for binary tetranomials
Author/Authors :
Alfred W. Hales، نويسنده , , Donald W. Newhart، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
Swanʹs theorem [Pacific J. Math. 12 (1962) 1099–1106] determines the parity of the number of irreducible factors of a binary trinomial. This paper does the same for a binary tetranomial. When phrased in terms of the periodic portion of the factor-parity sequence, the result in several cases is comparable in simplicity to Swanʹs result for square-free trinomials.
Keywords :
Binary tetronomial , Cyclic redundancy check , Binary trinomial , Pseudo-random sequence , Parity sequence , Swan’s theorem , Irreducible factors
Journal title :
Finite Fields and Their Applications
Journal title :
Finite Fields and Their Applications
