MinT - Information on Result #2460628

Information on Result #2460628

Linear OOA(2²²⁹, 125, F₂, 2, 108) (dual of [(125, 2), 21, 109]-NRT-code), using 2 step truncation based on linear OOA(2²³¹, 126, F₂, 2, 110) (dual of [(126, 2), 21, 111]-NRT-code), using

strength reduction [i] based on linear OOA(2²³¹, 126, F₂, 2, 111) (dual of [(126, 2), 21, 112]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8³⁵, 42, F₈, 27) (dual of [42, 7, 28]-code), using
    - 15 times truncation [i] based on linear OA(8⁵⁰, 57, F₈, 42) (dual of [57, 7, 43]-code), using
      - a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva [i]
  2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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

None.