MinT - Information on Result #2766201

Information on Result #2766201

Linear OOA(2²²⁸, 81, F₂, 4, 84) (dual of [(81, 4), 96, 85]-NRT-code), using strength reduction based on linear OOA(2²²⁸, 81, F₂, 4, 86) (dual of [(81, 4), 96, 87]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16³⁰, 27, F₁₆, 2, 28) (dual of [(27, 2), 24, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16³⁰, 33, F₁₆, 2, 28) (dual of [(33, 2), 36, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,37P) [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 OOA(2², 3, F₂, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;4,2) [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(2²²⁹, 81, F₂, 4, 84) (dual of [(81, 4), 95, 85]-NRT-code)	[i]		OOA Duplication