MinT - Information on Result #2620048

Information on Result #2620048

Linear OOA(2²⁵⁸, 90, F₂, 3, 163) (dual of [(90, 3), 12, 164]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 90, F₂, 3, 175) (dual of [(90, 3), 12, 176]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
  - Denniston code D(1,16) [i]
2. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,4P) [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(2²⁵⁹, 90, F₂, 3, 163) (dual of [(90, 3), 11, 164]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²⁶⁰, 90, F₂, 3, 163) (dual of [(90, 3), 10, 164]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(2²⁵⁷, 89, F₂, 3, 162) (dual of [(89, 3), 10, 163]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(2²⁵⁶, 89, F₂, 3, 161) (dual of [(89, 3), 11, 162]-NRT-code)	[i]
5	Linear OOA(2²⁵⁵, 89, F₂, 3, 160) (dual of [(89, 3), 12, 161]-NRT-code)	[i]
6	Linear OOA(2²⁵⁴, 88, F₂, 3, 159) (dual of [(88, 3), 10, 160]-NRT-code)	[i]
7	Linear OOA(2²⁵³, 88, F₂, 3, 158) (dual of [(88, 3), 11, 159]-NRT-code)	[i]
8	Linear OOA(2²⁵², 88, F₂, 3, 157) (dual of [(88, 3), 12, 158]-NRT-code)	[i]
9	Linear OOA(2²⁵¹, 87, F₂, 3, 156) (dual of [(87, 3), 10, 157]-NRT-code)	[i]
10	Linear OOA(2²⁵⁰, 87, F₂, 3, 155) (dual of [(87, 3), 11, 156]-NRT-code)	[i]
11	Linear OOA(2²⁴⁹, 87, F₂, 3, 154) (dual of [(87, 3), 12, 155]-NRT-code)	[i]