MinT - Information on Result #2263243

Information on Result #2263243

Linear OA(3²⁷, 12963, F₃, 5) (dual of [12963, 12936, 6]-code), using 1 times code embedding in larger space based on linear OA(3²⁶, 12962, F₃, 5) (dual of [12962, 12936, 6]-code), using

trace code [i] based on linear OA(9¹³, 6481, F₉, 5) (dual of [6481, 6468, 6]-code), using
- base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) [i] based on 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		Method
1	Linear OOA(3²⁷, 6481, F₃, 3, 5) (dual of [(6481, 3), 19416, 6]-NRT-code)	[i]	OOA Folding and Stacking with Additional Row
2	Linear OOA(3²⁷, 6481, F₃, 4, 5) (dual of [(6481, 4), 25897, 6]-NRT-code)	[i]
3	Linear OOA(3²⁷, 6481, F₃, 5, 5) (dual of [(6481, 5), 32378, 6]-NRT-code)	[i]