Constant dimension codes from Riemann-Roch spaces
Daniele Bartoli, Matteo Bonini, Massimo Giulietti
TL;DR
This paper constructs new families of constant dimension codes using Riemann-Roch spaces linked to specific divisors on algebraic curves, generalizing previous work by Hansen.
Contribution
It introduces a novel method for constructing constant dimension codes from algebraic geometry, expanding the class of known codes.
Findings
New families of codes with potentially improved parameters
Generalization of Hansen's construction method
Framework for algebraic geometry-based code design
Abstract
Some families of constant dimension codes arising from Riemann-Roch spaces associated to particular divisors of a curve are constructed. These families are generalizations of the one constructed by Hansen
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