MinT - Information on Result #664750

Information on Result #664750

Linear OA(16¹⁹, 195843, F₁₆, 5) (dual of [195843, 195824, 6]-code), using (u,Â uâˆ’v,Â u+v+w)-construction based on

linear OA(16¹, 65281, F₁₆, 1) (dual of [65281, 65280, 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(16⁵, 65281, F₁₆, 2) (dual of [65281, 65276, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(16⁵, 69905, F₁₆, 2) (dual of [69905, 69900, 3]-code), using
  - Hamming code H(5,16) [i]
linear OA(16¹³, 65281, F₁₆, 5) (dual of [65281, 65268, 6]-code), using
- base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) [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.

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