MinT - Information on Result #1849112

Information on Result #1849112

OOA(128²³, 321, S₁₂₈, 4, 18), using extracting embedded OOA based on (5, 23, 321)-net in base 128, using

1 times m-reduction [i] based on (5, 24, 321)-net in base 128, using
- base change [i] based on digital (2, 21, 321)-net over F₂₅₆, using
  - net from sequence [i] based on digital (2, 320)-sequence over F₂₅₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
      - sharp bound on the number of rational points on curves with genus 2 [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(128²³, 321, S₁₂₈, 4, 17)	[i]		Strength Reduction for OOAs
2	OOA(128²³, 321, S₁₂₈, 4, 16)	[i]
3	OOA(128²³, 321, S₁₂₈, 4, 15)	[i]
4	OOA(128²⁷, 322, S₁₂₈, 4, 18)	[i]		NRT-Code Embedding in Larger Space
5	OOA(128²⁵, 321, S₁₂₈, 4, 18)	[i]		OOA Duplication