MinT - Information on Result #1847700

Information on Result #1847700

OOA(64²⁷, 321, S₆₄, 2, 18), using extracting embedded OOA based on (9, 27, 321)-net in base 64, using

1 times m-reduction [i] based on (9, 28, 321)-net in base 64, 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(64²⁷, 321, S₆₄, 2, 17)	[i]		Strength Reduction for OOAs
2	OOA(64²⁹, 322, S₆₄, 2, 18)	[i]		NRT-Code Embedding in Larger Space
3	OOA(64³¹, 323, S₆₄, 2, 18)	[i]		NRT-Code Embedding in Larger Space