MinT - Information on Result #876263

Information on Result #876263

Linear OOA(81¹⁰, 6481, F₈₁, 2, 5) (dual of [(6481, 2), 12952, 6]-NRT-code), using OOA 2-folding based on linear OA(81¹⁰, 12962, F₈₁, 5) (dual of [12962, 12952, 6]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(81³, 6481, F₈₁, 2) (dual of [6481, 6478, 3]-code), using
  - discarding factors / shortening the dual code based on linear OA(81³, 6643, F₈₁, 2) (dual of [6643, 6640, 3]-code), using
    - Hamming code H(3,81) [i]
2. linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 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(81⁴⁷, 4200782, F₈₁, 2, 10) (dual of [(4200782, 2), 8401517, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(81⁵¹, 4200782, F₈₁, 2, 11) (dual of [(4200782, 2), 8401513, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs