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cs.IT2025
Code size constraints in b-symbol read channels: A bound analysis
Gyanendra K. Verma, Nupur Patanker, Abhay Kumar Singh
In classical coding theory, error-correcting codes are designed to protect against errors occurring at individual symbol positions in a codeword. However, in practical storage and…
cs.IT2025
On the number of minimal and next-to-minimal weight codewords of toric codes over hypersimplices
Cícero Carvalho, Nupur Patanker
Toric codes are a type of evaluation code introduced by J.P. Hansen in 2000. They are produced by evaluating (a vector space composed by) polynomials at the points of $(\mathbb{F}_…
cs.IT2025
Next-to-minimal weight of toric codes defined over hypersimplices
Cícero Carvalho, Nupur Patanker
Toric codes are a type of evaluation codes introduced by J.P. Hansen in 2000. They are produced by evaluating (a vector space composed by) polynomials at the points of $(\mathbb{F}…