MinT - Information on Result #661548

Information on Result #661548

Linear OA(5¹¹⁸, 140, F₅, 67) (dual of [140, 22, 68]-code), using concatenation of two codes based on

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]
linear OA(5³, 5, F₅, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reedâ€“Solomon code RS(2,5) [i]

Mode: Constructive and linear.

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None.