MinT - Information on Result #944401

Information on Result #944401

Linear OOA(3³⁰, 12965, F₃, 3, 5) (dual of [(12965, 3), 38865, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(3³⁰, 12966, F₃, 2, 5) (dual of [(12966, 2), 25902, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3², 4, F₃, 2, 2) (dual of [(4, 2), 6, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;6,3) [i]
2. linear OOA(3²⁸, 12962, F₃, 2, 5) (dual of [(12962, 2), 25896, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3²⁸, 25924, F₃, 5) (dual of [25924, 25896, 6]-code), using
    - trace code [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
      - a code by Danev and Olsson [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.