MinT - Information on Result #662733

Information on Result #662733

Linear OA(5¹⁹, 1803, F₅, 5) (dual of [1803, 1784, 6]-code), using (u,Â uâˆ’v,Â u+v+w)-construction based on

linear OA(5¹, 601, F₅, 1) (dual of [601, 600, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
  - parity-check code [i]
linear OA(5⁵, 601, F₅, 2) (dual of [601, 596, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(5⁵, 781, F₅, 2) (dual of [781, 776, 3]-code), using
  - Hamming code H(5,5) [i]
linear OA(5¹³, 601, F₅, 5) (dual of [601, 588, 6]-code), using
- base reduction for projective spaces (embedding PG(6,25) in PG(12,5)) [i] based on linear OA(25⁷, 601, F₂₅, 5) (dual of [601, 594, 6]-code), using
  - a code by Danev and Olsson [i]

Mode: Constructive and linear.

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