MinT - Information on Result #2446463

Information on Result #2446463

Linear OOA(4²⁵⁸, 135, F₄, 2, 187) (dual of [(135, 2), 12, 188]-NRT-code), using strength reduction based on linear OOA(4²⁵⁸, 135, F₄, 2, 191) (dual of [(135, 2), 12, 192]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64²³, 27, F₆₄, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²³, 64, F₆₄, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
    - Reedâ€“Solomon code RS(41,64) [i]
2. linear OOA(4⁷, 5, F₄, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,4) [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(4²⁵⁹, 135, F₄, 2, 187) (dual of [(135, 2), 11, 188]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(4²⁵⁷, 134, F₄, 2, 186) (dual of [(134, 2), 11, 187]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(4²⁵⁶, 134, F₄, 2, 185) (dual of [(134, 2), 12, 186]-NRT-code)	[i]
4	Linear OOA(4²⁵⁵, 133, F₄, 2, 184) (dual of [(133, 2), 11, 185]-NRT-code)	[i]
5	Linear OOA(4²⁵⁴, 133, F₄, 2, 183) (dual of [(133, 2), 12, 184]-NRT-code)	[i]
6	Linear OOA(4²⁵³, 132, F₄, 2, 182) (dual of [(132, 2), 11, 183]-NRT-code)	[i]
7	Linear OOA(4²⁵¹, 131, F₄, 2, 180) (dual of [(131, 2), 11, 181]-NRT-code)	[i]
8	Linear OOA(4²⁵⁰, 131, F₄, 2, 179) (dual of [(131, 2), 12, 180]-NRT-code)	[i]
9	Linear OOA(4²⁴⁹, 130, F₄, 2, 178) (dual of [(130, 2), 11, 179]-NRT-code)	[i]
10	Linear OOA(4²⁴⁷, 129, F₄, 2, 176) (dual of [(129, 2), 11, 177]-NRT-code)	[i]