MinT - Information on Result #1058835

Information on Result #1058835

Linear OOA(2²⁰⁶, 54, F₂, 4, 117) (dual of [(54, 4), 10, 118]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰⁶, 108, F₂, 2, 117) (dual of [(108, 2), 10, 118]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁰⁶, 108, F₂, 2, 119) (dual of [(108, 2), 10, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4³¹, 36, F₄, 23) (dual of [36, 5, 24]-code), using
    - 4 times truncation [i] based on linear OA(4³⁵, 40, F₄, 27) (dual of [40, 5, 28]-code), using
      - a quasi-cyclic code by Gulliver and Bhargava [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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.