Abstract
O. Moreno and P.V. Kumar (IEEE Trans. Inform. Theory, vol.39, no.5, September 1993) showed how Deligne's theorem can be applied to coding theory. They studied certain subcodes of binary Reed-Muller codes and estimated the associated character sums over a field of q/sup 2/ elements. They obtained bounds of the order /spl Oscr/(q). The present paper shows that in one case one can improve the coefficient of q in the estimates. The author also shows that there is an error in Moreno and Kumar's argument and in some cases one needs need to replace a bound of the order /spl Oscr/(q) by a weaker bound of the order /spl Oscr/(q/sup 3/2/). >
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
