MinT - Information on Result #659066

Information on Result #659066

Linear OA(3²⁶, 12962, F₃, 5) (dual of [12962, 12936, 6]-code), using trace code 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		This result only	Method
1	Linear OA(3²⁷, 12963, F₃, 5) (dual of [12963, 12936, 6]-code)	[i]		Code Embedding in Larger Space
2	Linear OOA(3²⁶, 8595, F₃, 2, 5) (dual of [(8595, 2), 17164, 6]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
3	Linear OOA(3²⁶, 8595, F₃, 3, 5) (dual of [(8595, 3), 25759, 6]-NRT-code)	[i]
4	Linear OOA(3²⁶, 8595, F₃, 4, 5) (dual of [(8595, 4), 34354, 6]-NRT-code)	[i]
5	Linear OOA(3²⁶, 6481, F₃, 2, 5) (dual of [(6481, 2), 12936, 6]-NRT-code)	[i]		OOA Folding
6	Linear OOA(3²⁶, 6480, F₃, 3, 5) (dual of [(6480, 3), 19414, 6]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row
7	Linear OOA(3²⁶, 6480, F₃, 4, 5) (dual of [(6480, 4), 25894, 6]-NRT-code)	[i]
8	Linear OOA(3²⁶, 6480, F₃, 5, 5) (dual of [(6480, 5), 32374, 6]-NRT-code)	[i]