Superpolynomial Lists for Reed-Solomon Codes over Binary Extension Fields 9C75CTY5C3

URI	`m2://res/9C75CTY5C3`
Kind	preprint
Creators	Minshen Zhu
Date	2026-10-11
MSC	05-XX
Subjects	arxiv cs.IT, arxiv cs.CC, arxiv math.IT
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-11
Ids	arXiv 2610.15815

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
$W$-invariant function	definition	definition 5.1	arxiv
Padding an anchor family	statement	proposition 4.1	arxiv
Robustness under arbitrary dense puncturing	statement	corollary 6.1	arxiv
Polar and quadratic radicals	example	example 5.5	arxiv
Degree checkpoint for the trace-quadratic family	statement	lemma 5.9	arxiv
Anchor family	definition	definition 2.4	arxiv
Full-field anchor family	statement	theorem 3.2	arxiv
Anchor families of prescribed codimension	statement	corollary 5.14	arxiv
Polynomial descent through a subspace quotient	statement	lemma 5.12	arxiv
BCH minimum-weight multiplicity	statement	proposition 3.1	arxiv
Schmidt's quadratic-form count	statement	proposition 5.10	arxiv
Polar radical and polar rank	definition	definition 5.3	arxiv
All-rate full-field RS lower bound	statement	theorem 5.17	arxiv
Affine shifts adapted to a polar radical	statement	lemma 5.8	arxiv
Structured Schmidt subfamily	statement	proposition 5.11	arxiv
Weight-$D$ BCH words are an exact RS list	statement	proposition 2.1	arxiv
Quadratic radical and quadratic rank	definition	definition 5.4	arxiv
Additive-domain BCH--RS correspondence	statement	proposition 2.3	arxiv
Padding the full-field anchor family	statement	corollary 4.2	arxiv
Informal	statement	theorem 1.1	arxiv
Quadratic rank and Hamming weight	statement	proposition 5.7	arxiv
A common quotient RS anchor	statement	proposition 5.13	arxiv
Common-quotient multiplicity estimate	statement	lemma A.1	arxiv
Evenness of polar rank	statement	proposition 5.6	arxiv
Optimality of the dyadic agreement envelope	statement	proposition 5.16	arxiv
Quadratic form and polar form	definition	definition 5.2	arxiv

Catalogue records

arxiv: 2610.15815 (work)
arxiv_text: 2610.15815 (work)