MinT - Information on Result #1848621

Information on Result #1848621

OOA(128¹⁶, 289, S₁₂₈, 3, 13), using extracting embedded OOA based on (3, 16, 289)-net in base 128, using

base change [i] based on digital (1, 14, 289)-net over F₂₅₆, using
- net from sequence [i] based on digital (1, 288)-sequence over F₂₅₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
    - sharp bound on the number of rational points on curves with genus 1 [i]

Mode: Arbitrary.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	OOA(128¹⁷, 289, S₁₂₈, 3, 13)	[i]		OOA Duplication
2	OOA(128²³, 546, S₁₂₈, 3, 13)	[i]		(u,Â u+v)-Construction for OOAs