MinT - Information on Result #878268

Information on Result #878268

Linear OOA(128¹⁰, 16257, F₁₂₈, 2, 5) (dual of [(16257, 2), 32504, 6]-NRT-code), using OOA 2-folding 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(128⁴⁷, 4210558, F₁₂₈, 2, 10) (dual of [(4210558, 2), 8421069, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(128⁵¹, 4210558, F₁₂₈, 2, 11) (dual of [(4210558, 2), 8421065, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs