MinT - Information on Result #659067

Information on Result #659067

Linear OA(4²⁶, 130562, F₄, 5) (dual of [130562, 130536, 6]-code), using trace code based on linear OA(16¹³, 65281, F₁₆, 5) (dual of [65281, 65268, 6]-code), using

base reduction for projective spaces (embedding PG(6,256) in PG(12,16)) [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 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(4²⁷, 130563, F₄, 5) (dual of [130563, 130536, 6]-code)	[i]		Code Embedding in Larger Space
2	Linear OOA(4²⁶, 65281, F₄, 2, 5) (dual of [(65281, 2), 130536, 6]-NRT-code)	[i]		OOA Folding
3	Linear OOA(4²⁶, 65280, F₄, 3, 5) (dual of [(65280, 3), 195814, 6]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row
4	Linear OOA(4²⁶, 65280, F₄, 5, 5) (dual of [(65280, 5), 326374, 6]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row