MinT - Information on Result #1088009

Information on Result #1088009

Linear OOA(2²⁴⁰, 65, F₂, 4, 149) (dual of [(65, 4), 20, 150]-NRT-code), using concatenation of two NRT-codes based on

linear OA(32⁹, 13, F₃₂, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(32⁹, 32, F₃₂, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
  - Reedâ€“Solomon code RS(23,32) [i]
linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;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		This result only	Method
1	Linear OOA(2²⁴⁰, 65, F₂, 4, 148) (dual of [(65, 4), 20, 149]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁴⁰, 65, F₂, 4, 147) (dual of [(65, 4), 20, 148]-NRT-code)	[i]
3	Linear OOA(2²⁴⁰, 65, F₂, 4, 146) (dual of [(65, 4), 20, 147]-NRT-code)	[i]
4	Linear OOA(2²⁴⁰, 65, F₂, 4, 145) (dual of [(65, 4), 20, 146]-NRT-code)	[i]
5	Linear OOA(2²⁴⁰, 65, F₂, 4, 144) (dual of [(65, 4), 20, 145]-NRT-code)	[i]
6	Linear OOA(2²³⁹, 64, F₂, 4, 148) (dual of [(64, 4), 17, 149]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(2²³⁸, 64, F₂, 4, 147) (dual of [(64, 4), 18, 148]-NRT-code)	[i]
8	Linear OOA(2²³⁷, 64, F₂, 4, 146) (dual of [(64, 4), 19, 147]-NRT-code)	[i]
9	Linear OOA(2²³⁶, 64, F₂, 4, 145) (dual of [(64, 4), 20, 146]-NRT-code)	[i]
10	Linear OOA(2²³⁴, 63, F₂, 4, 143) (dual of [(63, 4), 18, 144]-NRT-code)	[i]
11	Linear OOA(2²³³, 63, F₂, 4, 142) (dual of [(63, 4), 19, 143]-NRT-code)	[i]
12	Linear OOA(2²²⁸, 62, F₂, 4, 137) (dual of [(62, 4), 20, 138]-NRT-code)	[i]
13	Linear OOA(2²²⁴, 61, F₂, 4, 133) (dual of [(61, 4), 20, 134]-NRT-code)	[i]