MinT - Information on Result #1829270

Information on Result #1829270

OOA(4²³¹, 648, S₄, 2, 61), using extracting embedded OOA based on (170, 231, 648)-net in base 4, using

trace code for nets [i] based on (16, 77, 216)-net in base 64, using
- base change [i] based on digital (5, 66, 216)-net over F₁₂₈, using
  - net from sequence [i] based on digital (5, 215)-sequence over F₁₂₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 5 and N(F) ≥ 216, using
      - a function field by SÃ©mirat [i]

Mode: Constructive.

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(4²³³, 649, S₄, 2, 61)	[i]		NRT-Code Embedding in Larger Space
2	OOA(4²³⁵, 650, S₄, 2, 61)	[i]
3	OOA(4²³⁷, 651, S₄, 2, 61)	[i]
4	OOA(4²³⁹, 652, S₄, 2, 61)	[i]
5	OOA(4²⁴¹, 653, S₄, 2, 61)	[i]
6	OOA(4²⁴³, 654, S₄, 2, 61)	[i]
7	OOA(4²³², 648, S₄, 2, 61)	[i]		OOA Duplication