MinT - Information on Result #1835557

Information on Result #1835557

OOA(8¹¹², 576, S₈, 3, 39), using extracting embedded OOA based on (73, 112, 576)-net in base 8, using

trace code for nets [i] based on (17, 56, 288)-net in base 64, using
- base change [i] based on digital (9, 48, 288)-net over F₁₂₈, using
  - net from sequence [i] based on digital (9, 287)-sequence over F₁₂₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, 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(8¹¹², 576, S₈, 3, 38)	[i]		Strength Reduction for OOAs
2	OOA(8¹¹⁵, 577, S₈, 3, 39)	[i]		NRT-Code Embedding in Larger Space
3	OOA(8¹¹⁸, 578, S₈, 3, 39)	[i]
4	OOA(8¹²¹, 579, S₈, 3, 39)	[i]
5	OOA(8¹¹³, 576, S₈, 3, 39)	[i]		OOA Duplication
6	OOA(8¹¹⁴, 576, S₈, 3, 39)	[i]		OOA Duplication
7	OOA(8¹³¹, 585, S₈, 3, 39)	[i]		(u,Â u+v)-Construction for OOAs
8	OOA(8¹³², 590, S₈, 3, 39)	[i]
9	OOA(8¹³³, 593, S₈, 3, 39)	[i]