MinT - Information on Result #1158873

Information on Result #1158873

Linear OOA(2²³², 260, F₂, 7, 52) (dual of [(260, 7), 1588, 53]-NRT-code), using extracting embedded OOA based on digital (180, 232, 260)-net over F₂, using

trace code for nets [i] based on digital (6, 58, 65)-net over F₁₆, using
- net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]

Mode: Constructive and linear.

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	Linear OOA(2²³², 260, F₂, 7, 51) (dual of [(260, 7), 1588, 52]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁹, 261, F₂, 7, 52) (dual of [(261, 7), 1588, 53]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁴⁶, 262, F₂, 7, 52) (dual of [(262, 7), 1588, 53]-NRT-code)	[i]
4	Linear OOA(2²⁵³, 263, F₂, 7, 52) (dual of [(263, 7), 1588, 53]-NRT-code)	[i]
5	Linear OOA(2²³³, 260, F₂, 7, 52) (dual of [(260, 7), 1587, 53]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²³⁴, 260, F₂, 7, 52) (dual of [(260, 7), 1586, 53]-NRT-code)	[i]
7	Linear OOA(2²³⁵, 260, F₂, 7, 52) (dual of [(260, 7), 1585, 53]-NRT-code)	[i]
8	Linear OOA(2²³⁷, 260, F₂, 7, 52) (dual of [(260, 7), 1583, 53]-NRT-code)	[i]
9	Linear OOA(2²³⁸, 260, F₂, 7, 52) (dual of [(260, 7), 1582, 53]-NRT-code)	[i]
10	Linear OOA(2²⁵⁹, 265, F₂, 7, 52) (dual of [(265, 7), 1596, 53]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
11	Linear OOA(2²⁶⁰, 266, F₂, 7, 52) (dual of [(266, 7), 1602, 53]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs