MinT - Information on Result #1847028

Information on Result #1847028

OOA(16¹⁰⁸, 257, S₁₆, 2, 60), using extracting embedded OOA based on (48, 108, 257)-net in base 16, using

base change [i] based on digital (12, 72, 257)-net over F₆₄, using
- net from sequence [i] based on digital (12, 256)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 12 and N(F) ≥ 257, using
    - K_1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [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(16¹⁰⁸, 257, S₁₆, 2, 59)	[i]		Strength Reduction for OOAs
2	OOA(16¹¹⁰, 258, S₁₆, 2, 60)	[i]		NRT-Code Embedding in Larger Space
3	OOA(16¹⁰⁹, 257, S₁₆, 2, 60)	[i]		OOA Duplication