MinT - Information on Result #2429811

Information on Result #2429811

Linear OOA(2²⁶⁰, 135, F₂, 2, 152) (dual of [(135, 2), 10, 153]-NRT-code), using strength reduction based on linear OOA(2²⁶⁰, 135, F₂, 2, 154) (dual of [(135, 2), 10, 155]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4⁴⁰, 45, F₄, 30) (dual of [45, 5, 31]-code), using
  - 1 times truncation [i] based on linear OA(4⁴¹, 46, F₄, 31) (dual of [46, 5, 32]-code), using
    - an explicit generator matrix [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(2²⁵⁹, 134, F₂, 2, 151) (dual of [(134, 2), 9, 152]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵⁸, 134, F₂, 2, 150) (dual of [(134, 2), 10, 151]-NRT-code)	[i]
3	Linear OOA(2²⁵⁷, 133, F₂, 2, 149) (dual of [(133, 2), 9, 150]-NRT-code)	[i]
4	Linear OOA(2²⁵⁶, 133, F₂, 2, 148) (dual of [(133, 2), 10, 149]-NRT-code)	[i]
5	Linear OOA(2²⁵⁵, 132, F₂, 2, 147) (dual of [(132, 2), 9, 148]-NRT-code)	[i]
6	Linear OOA(2²⁵⁴, 132, F₂, 2, 146) (dual of [(132, 2), 10, 147]-NRT-code)	[i]
7	Linear OOA(2²⁵³, 131, F₂, 2, 145) (dual of [(131, 2), 9, 146]-NRT-code)	[i]
8	Linear OOA(2²⁵², 131, F₂, 2, 144) (dual of [(131, 2), 10, 145]-NRT-code)	[i]
9	Linear OOA(2²⁵⁰, 130, F₂, 2, 142) (dual of [(130, 2), 10, 143]-NRT-code)	[i]
10	Linear OOA(2²⁴⁹, 129, F₂, 2, 141) (dual of [(129, 2), 9, 142]-NRT-code)	[i]