MinT - Information on Result #1058122

Information on Result #1058122

Linear OOA(2¹⁷⁹, 48, F₂, 4, 92) (dual of [(48, 4), 13, 93]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁷⁹, 96, F₂, 2, 92) (dual of [(96, 2), 13, 93]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸⁴, 48, F₂, 2, 46) (dual of [(48, 2), 12, 47]-NRT-code), using
  - strength reduction [i] based on linear OOA(2⁸⁴, 48, F₂, 2, 47) (dual of [(48, 2), 12, 48]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
        a code by Marcugini, Milani, and Pambianco [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]
2. linear OOA(2⁹⁵, 48, F₂, 2, 92) (dual of [(48, 2), 1, 93]-NRT-code), using
  - strength reduction [i] based on linear OOA(2⁹⁵, 48, F₂, 2, 95) (dual of [(48, 2), 1, 96]-NRT-code), using
    - dual of repetition NRT-code with length 48 [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.