MinT - Information on Result #2225877

Information on Result #2225877

Linear OA(2²¹⁵, 263, F₂, 78) (dual of [263, 48, 79]-code), using 1 times truncation based on linear OA(2²¹⁶, 264, F₂, 79) (dual of [264, 48, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(16²¹, 33, F₁₆, 19) (dual of [33, 12, 20]-code), using
  - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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(2²¹⁷, 265, F₂, 78) (dual of [265, 48, 79]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(2²¹⁸, 266, F₂, 78) (dual of [266, 48, 79]-code)	[i]
3	Linear OA(2²¹⁹, 267, F₂, 78) (dual of [267, 48, 79]-code)	[i]
4	Linear OA(2²²⁰, 268, F₂, 78) (dual of [268, 48, 79]-code)	[i]
5	Linear OA(2²²¹, 269, F₂, 78) (dual of [269, 48, 79]-code)	[i]
6	Linear OA(2²²², 270, F₂, 78) (dual of [270, 48, 79]-code)	[i]