MinT - Information on Result #843363

Information on Result #843363

Linear OOA(8¹⁶, 4037, F₈, 2, 5) (dual of [(4037, 2), 8058, 6]-NRT-code), using OOA 2-folding based on linear OA(8¹⁶, 8074, F₈, 5) (dual of [8074, 8058, 6]-code), using

discarding factors / shortening the dual code based on linear OA(8¹⁶, 8075, F₈, 5) (dual of [8075, 8059, 6]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(8², 9, F₈, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
    - extended Reedâ€“Solomon code RS_e(7,8) [i]
    - Hamming code H(2,8) [i]
  2. linear OA(8¹⁴, 8066, F₈, 5) (dual of [8066, 8052, 6]-code), using
    - trace code [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 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.