id: 06062672
dt: j
an: 06062672
au: Solé, Patrick; Yemen, Olfa
ti: Binary quasi-cyclic codes of index 2 and skew polynomial rings.
so: Finite Fields Appl. 18, No. 4, 685-699 (2012).
py: 2012
pu: Elsevier Science (Academic Press), San Diego, CA
la: EN
cc: 
ut: quasi-cyclic codes; skew polynomial rings; self dual codes; standard bases
ci: 
li: doi:10.1016/j.ffa.2012.02.002
ab: Summary: We present a study of the factorization of the polynomial $X^{m} -
    1$ in $M_{2}(\Bbb F_{2})$[X] and we determine the period of any
    reversible polynomial of this polynomial ring by using skew polynomial
    rings. These results are applied to the construction of the class of
    quasi-cyclic codes $Ω(P)$ introduced by Cayrel et al. Furthermore, we
    present a new construction of the self dual subclass.
rv: