MinT - Information on Result #837457

Information on Result #837457

Linear OOA(5⁶², 42, F₅, 2, 33) (dual of [(42, 2), 22, 34]-NRT-code), using OOA 2-folding based on linear OA(5⁶², 84, F₅, 33) (dual of [84, 22, 34]-code), using

concatenation of two codes [i] based on
1. linear OA(25¹⁷, 28, F₂₅, 16) (dual of [28, 11, 17]-code), using
  - constructionÂ X applied to RS(9,25) âŠ‚ RS(11,25) [i] based on
    1. linear OA(25¹⁶, 25, F₂₅, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,25)), using Reedâ€“Solomon code RS(9,25) [i]
    2. linear OA(25¹⁴, 25, F₂₅, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using Reedâ€“Solomon code RS(11,25) [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.