A bottom-set characterization plus three algorithms computes all pure gaps at many totally ramified places of arbitrary Kummer extensions, yielding explicit formulas and a new-record [74,60,≥10] AG code over F_25.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
cs.IT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
A bottom-set characterization plus three algorithms computes all pure gaps at many totally ramified places of arbitrary Kummer extensions, yielding explicit formulas and a new-record [74,60,≥10] AG code over F_25.