MinT - Information on Result #2225927

Information on Result #2225927

Linear OA(2²⁰⁶, 262, F₂, 68) (dual of [262, 56, 69]-code), using 2 times truncation based on linear OA(2²⁰⁸, 264, F₂, 70) (dual of [264, 56, 71]-code), using

strength reduction [i] based on linear OA(2²⁰⁸, 264, F₂, 71) (dual of [264, 56, 72]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁹, 33, F₁₆, 17) (dual of [33, 14, 18]-code), using
    - extended algebraic-geometric code AG_e(F,15P) [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 OOA(2²⁰⁶, 131, F₂, 2, 68) (dual of [(131, 2), 56, 69]-NRT-code)	[i]		OOA Folding