MinT - Information on Result #879949

Information on Result #879949

Linear OOA(256⁹, 65280, F₂₅₆, 2, 4) (dual of [(65280, 2), 130551, 5]-NRT-code), using OOA 2-folding based on linear OA(256⁹, 130560, F₂₅₆, 4) (dual of [130560, 130551, 5]-code), using

discarding factors / shortening the dual code based on linear OA(256⁹, 130561, F₂₅₆, 4) (dual of [130561, 130552, 5]-code), using
- 1 times truncation [i] based on linear OA(256¹⁰, 130562, F₂₅₆, 5) (dual of [130562, 130552, 6]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(256³, 65281, F₂₅₆, 2) (dual of [65281, 65278, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
    2. 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(256³¹, 4259581, F₂₅₆, 2, 8) (dual of [(4259581, 2), 8519131, 9]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(256³⁴, 4259581, F₂₅₆, 2, 9) (dual of [(4259581, 2), 8519128, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs