MinT - Information on Result #964960

Information on Result #964960

Linear OOA(4¹³⁰, 77, F₄, 3, 49) (dual of [(77, 3), 101, 50]-NRT-code), using OOA 3-folding based on linear OA(4¹³⁰, 231, F₄, 49) (dual of [231, 101, 50]-code), using

discarding factors / shortening the dual code based on linear OA(4¹³⁰, 232, F₄, 49) (dual of [232, 102, 50]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁴, 58, F₆₄, 24) (dual of [58, 34, 25]-code or 58-arc in PG(23,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
      - Reedâ€“Solomon code RS(40,64) [i]
  2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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

None.