MinT - Information on Result #2461557

Information on Result #2461557

Linear OOA(2²⁵¹, 191, F₂, 2, 82) (dual of [(191, 2), 131, 83]-NRT-code), using 1 step truncation based on linear OOA(2²⁵², 192, F₂, 2, 83) (dual of [(192, 2), 132, 84]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(8⁵², 48, F₈, 2, 41) (dual of [(48, 2), 44, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,54P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [i]
2. linear OA(2¹, 4, F₂, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(2²⁵¹, 95, F₂, 4, 82) (dual of [(95, 4), 129, 83]-NRT-code)	[i]		OOA Folding