MinT - Information on Result #842998

Information on Result #842998

Linear OOA(7¹⁰¹, 61, F₇, 2, 61) (dual of [(61, 2), 21, 62]-NRT-code), using OOA 2-folding based on linear OA(7¹⁰¹, 122, F₇, 61) (dual of [122, 21, 62]-code), using

discarding factors / shortening the dual code based on linear OA(7¹⁰¹, 123, F₇, 61) (dual of [123, 22, 62]-code), using
- concatenation of two codes [i] based on
  1. linear OA(49³⁰, 41, F₄₉, 30) (dual of [41, 11, 31]-code or 41-arc in PG(29,49)), using
    - discarding factors / shortening the dual code based on linear OA(49³⁰, 49, F₄₉, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,49)), using
      - Reedâ€“Solomon code RS(19,49) [i]
  2. linear OA(7¹, 3, F₇, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(7¹, s, F₇, 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.