MinT - Information on Result #854359

Information on Result #854359

Linear OOA(9¹⁰⁵, 67, F₉, 2, 61) (dual of [(67, 2), 29, 62]-NRT-code), using OOA 2-folding based on linear OA(9¹⁰⁵, 134, F₉, 61) (dual of [134, 29, 62]-code), using

discarding factors / shortening the dual code based on linear OA(9¹⁰⁵, 135, F₉, 61) (dual of [135, 30, 62]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁰, 45, F₈₁, 30) (dual of [45, 15, 31]-code or 45-arc in PG(29,81)), using
    - discarding factors / shortening the dual code based on linear OA(81³⁰, 81, F₈₁, 30) (dual of [81, 51, 31]-code or 81-arc in PG(29,81)), using
      - Reedâ€“Solomon code RS(51,81) [i]
  2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 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.