MinT - Information on Result #1829317

Information on Result #1829317

OOA(8²⁴, 69649, S₈, 2, 5), using extracting embedded OOA based on (19, 24, 69649)-net in base 8, using

base change [i] based on digital (13, 18, 69649)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16¹⁸, 69649, F₁₆, 6, 5) (dual of [(69649, 6), 417876, 6]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(16¹⁸, 69650, F₁₆, 2, 5) (dual of [(69650, 2), 139282, 6]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(16⁴, 4369, F₁₆, 2, 2) (dual of [(4369, 2), 8734, 3]-NRT-code), using
        appending kth column [i] based on linear OA(16⁴, 4369, F₁₆, 2) (dual of [4369, 4365, 3]-code), using
        Hamming code H(4,16) [i]
      2. linear OOA(16¹⁴, 65281, F₁₆, 2, 5) (dual of [(65281, 2), 130548, 6]-NRT-code), using
        OOA 2-folding [i] based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
        trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]

Mode: Constructive.

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.