MinT - Information on Result #822522

Information on Result #822522

Linear OOA(4²⁶, 65281, F₄, 2, 5) (dual of [(65281, 2), 130536, 6]-NRT-code), using OOA 2-folding based on linear OA(4²⁶, 130562, F₄, 5) (dual of [130562, 130536, 6]-code), using

trace code [i] 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		Method
1	Linear OOA(4²⁷, 65281, F₄, 2, 5) (dual of [(65281, 2), 130535, 6]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(4²⁶, 65281, F₄, 3, 5) (dual of [(65281, 3), 195817, 6]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
3	Digital (21, 26, 65281)-net over F₄	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound