MinT - Information on Result #2429362

Information on Result #2429362

Linear OOA(2²⁵⁶, 132, F₂, 2, 158) (dual of [(132, 2), 8, 159]-NRT-code), using strength reduction based on linear OOA(2²⁵⁶, 132, F₂, 2, 159) (dual of [(132, 2), 8, 160]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4⁴⁰, 44, F₄, 31) (dual of [44, 4, 32]-code), using
  - a quasi-cyclic code by Gulliver and Bhargava [i]
2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2²⁵⁸, 133, F₂, 2, 158) (dual of [(133, 2), 8, 159]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2²⁶⁰, 134, F₂, 2, 158) (dual of [(134, 2), 8, 159]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(2²⁵⁷, 132, F₂, 2, 158) (dual of [(132, 2), 7, 159]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(2²⁵⁵, 131, F₂, 2, 157) (dual of [(131, 2), 7, 158]-NRT-code)	[i]	Truncation for OOAs
5	Linear OOA(2²⁵⁴, 131, F₂, 2, 156) (dual of [(131, 2), 8, 157]-NRT-code)	[i]
6	Linear OOA(2²⁵³, 130, F₂, 2, 155) (dual of [(130, 2), 7, 156]-NRT-code)	[i]
7	Linear OOA(2²⁵², 130, F₂, 2, 154) (dual of [(130, 2), 8, 155]-NRT-code)	[i]
8	Linear OOA(2²⁵⁶, 66, F₂, 4, 158) (dual of [(66, 4), 8, 159]-NRT-code)	[i]	OOA Folding