MinT - Information on Result #1466779

Information on Result #1466779

Linear OOA(2²⁴⁴, 129, F₂, 2, 134) (dual of [(129, 2), 14, 135]-NRT-code), using concatenation of two NRT-codes based on

linear OA(4³⁶, 43, F₄, 26) (dual of [43, 7, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4³⁶, 44, F₄, 26) (dual of [44, 8, 27]-code), using
  - a â€œZiâ€ code from Brouwerâ€™s database [i]
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: 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 OOA(2²⁴⁴, 129, F₂, 2, 133) (dual of [(129, 2), 14, 134]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁴⁴, 129, F₂, 2, 132) (dual of [(129, 2), 14, 133]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2²⁴⁶, 130, F₂, 2, 134) (dual of [(130, 2), 14, 135]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2²⁴⁵, 129, F₂, 2, 134) (dual of [(129, 2), 13, 135]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2²⁴³, 128, F₂, 2, 133) (dual of [(128, 2), 13, 134]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(2²⁴², 128, F₂, 2, 132) (dual of [(128, 2), 14, 133]-NRT-code)	[i]
7	Linear OOA(2²⁴¹, 127, F₂, 2, 131) (dual of [(127, 2), 13, 132]-NRT-code)	[i]
8	Linear OOA(2²⁴⁰, 127, F₂, 2, 130) (dual of [(127, 2), 14, 131]-NRT-code)	[i]
9	Linear OOA(2²³⁹, 126, F₂, 2, 129) (dual of [(126, 2), 13, 130]-NRT-code)	[i]