MinT - Information on Result #836833

Information on Result #836833

Linear OOA(5⁵⁴, 42, F₅, 2, 25) (dual of [(42, 2), 30, 26]-NRT-code), using OOA 2-folding based on linear OA(5⁵⁴, 84, F₅, 25) (dual of [84, 30, 26]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹³, 28, F₂₅, 12) (dual of [28, 15, 13]-code), using
  - constructionÂ X applied to RS(13,25) âŠ‚ RS(15,25) [i] based on
    1. linear OA(25¹², 25, F₂₅, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using Reedâ€“Solomon code RS(13,25) [i]
    2. linear OA(25¹⁰, 25, F₂₅, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using Reedâ€“Solomon code RS(15,25) [i]
    3. linear OA(25¹, 3, F₂₅, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(25¹, s, F₂₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 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.