MinT - Information on Result #2225686

Information on Result #2225686

Linear OA(2²²⁹, 253, F₂, 96) (dual of [253, 24, 97]-code), using 3 times truncation based on linear OA(2²³², 256, F₂, 99) (dual of [256, 24, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(16²⁶, 32, F₁₆, 24) (dual of [32, 6, 25]-code), using
  - discarding factors / shortening the dual code based on linear OA(16²⁶, 33, F₁₆, 24) (dual of [33, 7, 25]-code), using
    - extended algebraic-geometric code AG_e(F,8P) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²²⁹, 126, F₂, 2, 96) (dual of [(126, 2), 23, 97]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²²⁹, 84, F₂, 3, 96) (dual of [(84, 3), 23, 97]-NRT-code)	[i]		OOA Folding