MinT - Information on Result #664553

Information on Result #664553

Linear OA(16²⁰, 134657, F₁₆, 5) (dual of [134657, 134637, 6]-code), using generalized (u,Â u+v)-construction based on

linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(16⁰, s, F₁₆, 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(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16⁰, 273, F₁₆, 0) (dual of [273, 273, 1]-code) (see above)
linear OA(16¹, 273, F₁₆, 1) (dual of [273, 272, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(16¹, s, F₁₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]
linear OA(16¹, 273, F₁₆, 1) (dual of [273, 272, 2]-code) (see above)
linear OA(16¹, 273, F₁₆, 1) (dual of [273, 272, 2]-code) (see above)
linear OA(16³, 273, F₁₆, 2) (dual of [273, 270, 3]-code), using
- Hamming code H(3,16) [i]
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 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.