MinT - Information on Result #1613197

Information on Result #1613197

Linear OOA(81¹⁰, 12071, F₈₁, 4, 5) (dual of [(12071, 4), 48274, 6]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(81¹⁰, 12071, F₈₁, 5) (dual of [12071, 12061, 6]-code), using

discarding factors / shortening the dual code 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: 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(81¹⁰, 12071, F₈₁, 5, 5) (dual of [(12071, 5), 60345, 6]-NRT-code)	[i]		Appending kth Column