On the Dimension of AG Trace Codes

2009/02/10 by Le, Phong, Chetty, Sunil · 1 citation
#11L07 #94B65 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0902.1729

Abstract

We shall derive conditions in which a general formula for the dimension of q-ary trace codes induced by algebraic-geometric codes. Significant to this result are several dimension reducing methods for the underlying functions spaces associated to q-ary trace codes.

Cited by

• Tracing AG Codes: Toward Meeting the Gilbert-Varshamov Bound

Related

• Generalization of trace codes to places of higher degree
• On Parameters of Subfield Subcodes of Extended Norm-Trace Codes
• Tracing AG Codes: Toward Meeting the Gilbert-Varshamov Bound
• A Note on the Theoretical Support to Compute Dimension in Abelian Codes
• On Linear Codes with Random Multiplier Vectors and the Maximum Trace Dimension Property