MinT - Information on Result #2421712

Information on Result #2421712

Linear OOA(2¹⁶⁵, 90, F₂, 2, 86) (dual of [(90, 2), 15, 87]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁵, 90, F₂, 2, 87) (dual of [(90, 2), 15, 88]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8²⁵, 30, F₈, 21) (dual of [30, 5, 22]-code), using
  - a quasi-cyclic code by Gulliver and Bhargava [i]
2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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(2¹⁶⁷, 91, F₂, 2, 86) (dual of [(91, 2), 15, 87]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁶⁹, 92, F₂, 2, 86) (dual of [(92, 2), 15, 87]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁶⁶, 90, F₂, 2, 86) (dual of [(90, 2), 14, 87]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(2¹⁶⁴, 89, F₂, 2, 85) (dual of [(89, 2), 14, 86]-NRT-code)	[i]	Truncation for OOAs
5	Linear OOA(2¹⁶³, 89, F₂, 2, 84) (dual of [(89, 2), 15, 85]-NRT-code)	[i]
6	Linear OOA(2¹⁶¹, 88, F₂, 2, 82) (dual of [(88, 2), 15, 83]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁷, 86, F₂, 2, 78) (dual of [(86, 2), 15, 79]-NRT-code)	[i]
8	Linear OOA(2¹⁶⁵, 45, F₂, 4, 86) (dual of [(45, 4), 15, 87]-NRT-code)	[i]	OOA Folding