MinT - Information on Result #2460911

Information on Result #2460911

Linear OOA(2²¹¹, 135, F₂, 2, 82) (dual of [(135, 2), 59, 83]-NRT-code), using 1 step truncation based on linear OOA(2²¹², 136, F₂, 2, 83) (dual of [(136, 2), 60, 84]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(8⁴⁸, 34, F₈, 2, 41) (dual of [(34, 2), 20, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,26P) [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34, 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(2²¹¹, 67, F₂, 4, 82) (dual of [(67, 4), 57, 83]-NRT-code)	[i]		OOA Folding