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» Code Generation for Polynomial Multiplication
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CASC
2009
Springer
130views Mathematics» more  CASC 2009»
14 years 1 days ago
Code Generation for Polynomial Multiplication
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...
Ling Ding, Éric Schost
TCOM
2008
138views more  TCOM 2008»
13 years 5 months ago
Determination of the Best CRC Codes with up to 10-Bit Redundancy
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...
Tsonka Stefanova Baicheva
CORR
2006
Springer
114views Education» more  CORR 2006»
13 years 5 months ago
Polynomial-time algorithms for coding across multiple unicasts
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...
Tracey Ho
TIT
2008
74views more  TIT 2008»
13 years 5 months ago
Modular Representations of Polynomials: Hyperdense Coding and Fast Matrix Multiplication
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 ...
Vince Grolmusz
AAECC
2007
Springer
127views Algorithms» more  AAECC 2007»
13 years 5 months ago
Skew-cyclic codes
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...
Delphine Boucher, Willi Geiselmann, Felix Ulmer