MinT - Information on Result #664062

Information on Result #664062

Linear OA(9²⁰, 25924, F₉, 5) (dual of [25924, 25904, 6]-code), using generalized (u,Â u+v)-construction based on

linear OA(9¹, 6481, F₉, 1) (dual of [6481, 6480, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]
linear OA(9¹, 6481, F₉, 1) (dual of [6481, 6480, 2]-code) (see above)
linear OA(9⁵, 6481, F₉, 2) (dual of [6481, 6476, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(9⁵, 7381, F₉, 2) (dual of [7381, 7376, 3]-code), using
  - Hamming code H(5,9) [i]
linear OA(9¹³, 6481, F₉, 5) (dual of [6481, 6468, 6]-code), using
- base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) [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.

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