MinT - Information on Result #1847137

Information on Result #1847137

OOA(27⁴⁸, 244, S₂₇, 2, 27), using extracting embedded OOA based on (21, 48, 244)-net in base 27, using

base change [i] based on digital (9, 36, 244)-net over F₈₁, using
- net from sequence [i] based on digital (9, 243)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 9 and N(F) ≥ 244, using
    - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₈₁ [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(27⁴⁸, 244, S₂₇, 2, 26)	[i]		Strength Reduction for OOAs
2	OOA(27⁵⁰, 245, S₂₇, 2, 27)	[i]		NRT-Code Embedding in Larger Space
3	OOA(27⁴⁹, 244, S₂₇, 2, 27)	[i]		OOA Duplication