MinT - Information on Result #1057860

Information on Result #1057860

Linear OOA(2¹³⁸, 36, F₂, 4, 86) (dual of [(36, 4), 6, 87]-NRT-code), using OOA 2-folding based on linear OOA(2¹³⁸, 72, F₂, 2, 86) (dual of [(72, 2), 6, 87]-NRT-code), using

strength reduction [i] based on linear OOA(2¹³⁸, 72, F₂, 2, 87) (dual of [(72, 2), 6, 88]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8⁷, 9, F₈, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
    - extended Reedâ€“Solomon code RS_e(2,8) [i]
    - Simplex code S(2,8) [i]
  2. linear OOA(2¹³, 8, F₂, 2, 10) (dual of [(8, 2), 3, 11]-NRT-code), using
    - an explicit generator matrix by Edel [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.