MinT - Information on Result #878260

Information on Result #878260

Linear OOA(128⁹, 16256, F₁₂₈, 2, 4) (dual of [(16256, 2), 32503, 5]-NRT-code), using OOA 2-folding based on linear OA(128⁹, 32512, F₁₂₈, 4) (dual of [32512, 32503, 5]-code), using

discarding factors / shortening the dual code based on linear OA(128⁹, 32513, F₁₂₈, 4) (dual of [32513, 32504, 5]-code), using
- 1 times truncation [i] based on linear OA(128¹⁰, 32514, F₁₂₈, 5) (dual of [32514, 32504, 6]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(128³, 16257, F₁₂₈, 2) (dual of [16257, 16254, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
        Hamming code H(3,128) [i]
    2. linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 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(128³⁸, 4210557, F₁₂₈, 2, 8) (dual of [(4210557, 2), 8421076, 9]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(128⁴², 4210557, F₁₂₈, 2, 9) (dual of [(4210557, 2), 8421072, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs