6533b839fe1ef96bd12a5bba

RESEARCH PRODUCT

Asymptotically good codes from generalized algebraic-geometry codes

Antonino Giorgio Spera

subject

Algebraic function fieldBlock codeDiscrete mathematicsFunction field of an algebraic varietyApplied MathematicsReal algebraic geometryAlgebraic extensionAlgebraic functionLinear codeExpander codeComputer Science ApplicationsMathematics

description

We consider generalized algebraic-geometry codes, based on places of the same degree of a fixed algebraic function field over a finite field. In this note, using a method similar to the Justesen's one, we construct a family of such codes which is asymptotically good.

http://hdl.handle.net/10447/20229