MinT - Information on Result #876255

Information on Result #876255

Linear OOA(81⁹, 6480, F₈₁, 2, 4) (dual of [(6480, 2), 12951, 5]-NRT-code), using OOA 2-folding based on linear OA(81⁹, 12960, F₈₁, 4) (dual of [12960, 12951, 5]-code), using

discarding factors / shortening the dual code based on linear OA(81⁹, 12961, F₈₁, 4) (dual of [12961, 12952, 5]-code), using
- 1 times truncation [i] 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(81³⁸, 4200781, F₈₁, 2, 8) (dual of [(4200781, 2), 8401524, 9]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(81⁴², 4200781, F₈₁, 2, 9) (dual of [(4200781, 2), 8401520, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs