We discuss the family of “divide-and-conquer” algorithms for polynomial multiplication, that generalize Karatsuba’s algorithm. We give explicit versions of transposed and sho...
All binary polynomials of degree up to 10 which are suitable to be used as generator polynomials of CRC codes are classified and all the necessary data for the evaluation of the e...
We consider the problem of network coding across multiple unicasts. We give, for wired and wireless networks, efficient polynomial time algorithms for finding optimal network code...
A certain modular representation of multilinear polynomials is considered. The modulo 6 representation of polynomial f is just any polynomial f + 6g. The 1-a-strong representation ...
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...