MinT - Information on Result #1828754

Information on Result #1828754

OOA(128¹², 65281, S₁₂₈, 2, 5), using OOA 2-folding based on OA(128¹², 130562, S₁₂₈, 5), using

discarding parts of the base [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.

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	OOA(128⁴⁴, 4259582, S₁₂₈, 2, 10)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(128⁴⁸, 4259582, S₁₂₈, 2, 11)	[i]		(u,Â u+v)-Construction for OOAs