MinT - Information on Result #1475755

Information on Result #1475755

Linear OOA(9¹³, 12961, F₉, 3, 4) (dual of [(12961, 3), 38870, 5]-NRT-code), using OOA stacking with additional row based on linear OOA(9¹³, 12962, F₉, 2, 4) (dual of [(12962, 2), 25911, 5]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(9¹³, 12962, F₉, 4) (dual of [12962, 12949, 5]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(9¹², 12960, F₉, 4) (dual of [12960, 12948, 5]-code), using
    - trace code [i] based on linear OA(81⁶, 6480, F₈₁, 4) (dual of [6480, 6474, 5]-code), using
      - 1 times truncation [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OA(9¹², 12961, F₉, 3) (dual of [12961, 12949, 4]-code or 12961-cap in PG(11,9)), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹²Â > V_b^sâˆ’1(kâˆ’1)Â = 5374 460161 [i]
  3. linear OA(9⁰, 1, F₉, 0) (dual of [1, 1, 1]-code), using
    - discarding factors / shortening the dual code based on linear OA(9⁰, s, F₉, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
      - OA with only one run / dual of code without redundancy [i]

Mode: 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.