MinT - Information on Result #2189383

Information on Result #2189383

Linear OA(2²⁵⁶, 304, F₂, 94) (dual of [304, 48, 95]-code), using strength reduction 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(2²⁵⁵, 303, F₂, 93) (dual of [303, 48, 94]-code)	[i]		Truncation
2	Linear OA(2²⁵⁴, 302, F₂, 92) (dual of [302, 48, 93]-code)	[i]		Truncation
3	Linear OOA(2²⁵⁶, 152, F₂, 2, 94) (dual of [(152, 2), 48, 95]-NRT-code)	[i]		OOA Folding