MinT - Information on Result #2618156

Information on Result #2618156

Linear OOA(2²³², 80, F₂, 3, 162) (dual of [(80, 3), 8, 163]-NRT-code), using strength reduction based on linear OOA(2²³², 80, F₂, 3, 164) (dual of [(80, 3), 8, 165]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁴, 16, F₁₆, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
  - Reedâ€“Solomon code RS(2,16) [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(2²³³, 80, F₂, 3, 162) (dual of [(80, 3), 7, 163]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²³¹, 79, F₂, 3, 161) (dual of [(79, 3), 6, 162]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²³⁰, 79, F₂, 3, 160) (dual of [(79, 3), 7, 161]-NRT-code)	[i]
4	Linear OOA(2²²⁹, 79, F₂, 3, 159) (dual of [(79, 3), 8, 160]-NRT-code)	[i]
5	Linear OOA(2²²⁷, 78, F₂, 3, 157) (dual of [(78, 3), 7, 158]-NRT-code)	[i]
6	Linear OOA(2²²⁶, 78, F₂, 3, 156) (dual of [(78, 3), 8, 157]-NRT-code)	[i]
7	Linear OOA(2²²⁴, 77, F₂, 3, 154) (dual of [(77, 3), 7, 155]-NRT-code)	[i]
8	Linear OOA(2²²³, 77, F₂, 3, 153) (dual of [(77, 3), 8, 154]-NRT-code)	[i]
9	Linear OOA(2²²¹, 76, F₂, 3, 151) (dual of [(76, 3), 7, 152]-NRT-code)	[i]
10	Linear OOA(2²²⁰, 76, F₂, 3, 150) (dual of [(76, 3), 8, 151]-NRT-code)	[i]
11	Linear OOA(2²¹⁸, 75, F₂, 3, 148) (dual of [(75, 3), 7, 149]-NRT-code)	[i]
12	Linear OOA(2²³², 40, F₂, 6, 162) (dual of [(40, 6), 8, 163]-NRT-code)	[i]	OOA Folding