MinT - Information on Result #2429818

Information on Result #2429818

Linear OOA(2²⁶⁰, 136, F₂, 2, 144) (dual of [(136, 2), 12, 145]-NRT-code), using strength reduction based on linear OOA(2²⁶⁰, 136, F₂, 2, 149) (dual of [(136, 2), 12, 150]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁴, 17, F₁₆, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
  - extended Reedâ€“Solomon code RS_e(3,16) [i]
2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
  - an explicit generator matrix by Edel [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(2²⁵⁹, 135, F₂, 2, 143) (dual of [(135, 2), 11, 144]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵⁷, 134, F₂, 2, 141) (dual of [(134, 2), 11, 142]-NRT-code)	[i]
3	Linear OOA(2²⁵⁶, 134, F₂, 2, 140) (dual of [(134, 2), 12, 141]-NRT-code)	[i]
4	Linear OOA(2²⁵⁵, 133, F₂, 2, 139) (dual of [(133, 2), 11, 140]-NRT-code)	[i]
5	Linear OOA(2²⁵⁴, 133, F₂, 2, 138) (dual of [(133, 2), 12, 139]-NRT-code)	[i]
6	Linear OOA(2²⁵³, 132, F₂, 2, 137) (dual of [(132, 2), 11, 138]-NRT-code)	[i]
7	Linear OOA(2²⁵¹, 131, F₂, 2, 135) (dual of [(131, 2), 11, 136]-NRT-code)	[i]
8	Linear OOA(2²⁵⁰, 131, F₂, 2, 134) (dual of [(131, 2), 12, 135]-NRT-code)	[i]
9	Linear OOA(2²⁴⁹, 130, F₂, 2, 133) (dual of [(130, 2), 11, 134]-NRT-code)	[i]
10	Linear OOA(2²⁴⁸, 130, F₂, 2, 132) (dual of [(130, 2), 12, 133]-NRT-code)	[i]