MinT - Information on Result #2226517

Information on Result #2226517

Linear OA(2²⁵⁴, 302, F₂, 93) (dual of [302, 48, 94]-code), using 2 times truncation based on linear OA(2²⁵⁶, 304, F₂, 95) (dual of [304, 48, 96]-code), using

concatenation of two codes [i] based on
1. linear OA(16²⁶, 38, F₁₆, 23) (dual of [38, 12, 24]-code), using
  - extended algebraic-geometric code AG_e(F,14P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
    - a function field by SÃ©mirat [i]
2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
  - Reedâ€“Muller code RM(1,3) [i]
  - caps in base bÂ =Â 2 [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 OA(2²⁵⁷, 305, F₂, 93) (dual of [305, 48, 94]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(2²⁵⁸, 306, F₂, 93) (dual of [306, 48, 94]-code)	[i]
3	Linear OA(2²⁵⁹, 307, F₂, 93) (dual of [307, 48, 94]-code)	[i]
4	Linear OA(2²⁶⁰, 308, F₂, 93) (dual of [308, 48, 94]-code)	[i]
5	Linear OOA(2²⁵⁴, 151, F₂, 2, 93) (dual of [(151, 2), 48, 94]-NRT-code)	[i]		OOA Folding