MinT - Information on Result #2619183

Information on Result #2619183

Linear OOA(2²⁴⁷, 85, F₂, 3, 172) (dual of [(85, 3), 8, 173]-NRT-code), using strength reduction based on linear OOA(2²⁴⁷, 85, F₂, 3, 175) (dual of [(85, 3), 8, 176]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
  - extended Reedâ€“Solomon code RS_e(2,16) [i]
  - Simplex code S(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(2²⁴⁸, 85, F₂, 3, 172) (dual of [(85, 3), 7, 173]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²⁴⁶, 84, F₂, 3, 171) (dual of [(84, 3), 6, 172]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²⁴⁵, 84, F₂, 3, 170) (dual of [(84, 3), 7, 171]-NRT-code)	[i]
4	Linear OOA(2²⁴⁴, 84, F₂, 3, 169) (dual of [(84, 3), 8, 170]-NRT-code)	[i]
5	Linear OOA(2²⁴³, 83, F₂, 3, 168) (dual of [(83, 3), 6, 169]-NRT-code)	[i]
6	Linear OOA(2²⁴², 83, F₂, 3, 167) (dual of [(83, 3), 7, 168]-NRT-code)	[i]
7	Linear OOA(2²⁴¹, 83, F₂, 3, 166) (dual of [(83, 3), 8, 167]-NRT-code)	[i]
8	Linear OOA(2²⁴⁰, 82, F₂, 3, 165) (dual of [(82, 3), 6, 166]-NRT-code)	[i]
9	Linear OOA(2²³⁹, 82, F₂, 3, 164) (dual of [(82, 3), 7, 165]-NRT-code)	[i]
10	Linear OOA(2²³⁸, 82, F₂, 3, 163) (dual of [(82, 3), 8, 164]-NRT-code)	[i]
11	Linear OOA(2²³⁶, 81, F₂, 3, 161) (dual of [(81, 3), 7, 162]-NRT-code)	[i]
12	Linear OOA(2²³⁵, 81, F₂, 3, 160) (dual of [(81, 3), 8, 161]-NRT-code)	[i]