MinT - Information on Result #641257

Information on Result #641257

Linear OA(7⁶⁵, 70, F₇, 49) (dual of [70, 5, 50]-code), using juxtaposition based on

linear OA(7⁰, 5, F₇, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(7⁰, s, F₇, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
  - OA with only one run / dual of code without redundancy [i]
linear OA(7⁶⁰, 65, F₇, 48) (dual of [65, 5, 49]-code), using
- constructionÂ X applied to C₁ âŠ‚ C₀ [i] based on
  1. linear OA(7⁵⁴, 57, F₇, 48) (dual of [57, 3, 49]-code), using code C₁ for uÂ =Â 3 by de Boer and Brouwer [i]
  2. linear OA(7⁵¹, 57, F₇, 41) (dual of [57, 6, 42]-code), using code C₀ for uÂ =Â 3 by de Boer and Brouwer [i]
  3. linear OA(7⁶, 8, F₇, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,7)), using
    - extended Reedâ€“Solomon code RS_e(2,7) [i]
    - Simplex code S(2,7) [i]

Mode: Constructive and linear.

None.

None.