MinT - Information on Result #873713

Information on Result #873713

Linear OOA(64⁹, 4032, F₆₄, 2, 4) (dual of [(4032, 2), 8055, 5]-NRT-code), using OOA 2-folding based on linear OA(64⁹, 8064, F₆₄, 4) (dual of [8064, 8055, 5]-code), using

discarding factors / shortening the dual code based on linear OA(64⁹, 8065, F₆₄, 4) (dual of [8065, 8056, 5]-code), using
- 1 times truncation [i] based on linear OA(64¹⁰, 8066, F₆₄, 5) (dual of [8066, 8056, 6]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(64³, 4033, F₆₄, 2) (dual of [4033, 4030, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(64³, 4161, F₆₄, 2) (dual of [4161, 4158, 3]-code), using
        Hamming code H(3,64) [i]
    2. linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 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(64³⁸, 4198333, F₆₄, 2, 8) (dual of [(4198333, 2), 8396628, 9]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(64⁴², 4198333, F₆₄, 2, 9) (dual of [(4198333, 2), 8396624, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs