MinT - Information on Result #2619800

Information on Result #2619800

Linear OOA(2²⁵⁵, 95, F₂, 3, 137) (dual of [(95, 3), 30, 138]-NRT-code), using strength reduction based on linear OOA(2²⁵⁵, 95, F₂, 3, 139) (dual of [(95, 3), 30, 140]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32¹³, 19, F₃₂, 13) (dual of [19, 6, 14]-code or 19-arc in PG(12,32)), using
  - discarding factors / shortening the dual code based on linear OA(32¹³, 32, F₃₂, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
    - Reedâ€“Solomon code RS(19,32) [i]
2. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [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(2²⁵⁴, 94, F₂, 3, 136) (dual of [(94, 3), 28, 137]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵³, 94, F₂, 3, 135) (dual of [(94, 3), 29, 136]-NRT-code)	[i]
3	Linear OOA(2²⁵², 94, F₂, 3, 134) (dual of [(94, 3), 30, 135]-NRT-code)	[i]
4	Linear OOA(2²⁵⁰, 93, F₂, 3, 132) (dual of [(93, 3), 29, 133]-NRT-code)	[i]
5	Linear OOA(2²⁴⁹, 93, F₂, 3, 131) (dual of [(93, 3), 30, 132]-NRT-code)	[i]