MinT - Information on Result #918143

Information on Result #918143

Linear OOA(4¹⁸⁴, 105, F₄, 2, 115) (dual of [(105, 2), 26, 116]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(16²⁹, 21, F₁₆, 2, 28) (dual of [(21, 2), 13, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16²⁹, 24, F₁₆, 2, 28) (dual of [(24, 2), 19, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reedâ€“Solomon code RS_e(2,4) [i]
- Simplex code S(2,4) [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(4¹⁸⁴, 105, F₄, 2, 114) (dual of [(105, 2), 26, 115]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁸⁴, 105, F₄, 2, 113) (dual of [(105, 2), 26, 114]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(4¹⁸⁵, 105, F₄, 2, 115) (dual of [(105, 2), 25, 116]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(4¹⁸³, 104, F₄, 2, 114) (dual of [(104, 2), 25, 115]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(4¹⁸¹, 103, F₄, 2, 112) (dual of [(103, 2), 25, 113]-NRT-code)	[i]
6	Linear OOA(4¹⁸⁰, 103, F₄, 2, 111) (dual of [(103, 2), 26, 112]-NRT-code)	[i]
7	Linear OOA(4¹⁷⁹, 102, F₄, 2, 110) (dual of [(102, 2), 25, 111]-NRT-code)	[i]
8	Linear OOA(4¹⁷⁸, 102, F₄, 2, 109) (dual of [(102, 2), 26, 110]-NRT-code)	[i]
9	Linear OOA(4¹⁷⁷, 101, F₄, 2, 108) (dual of [(101, 2), 25, 109]-NRT-code)	[i]
10	Linear OOA(4¹⁷⁶, 101, F₄, 2, 107) (dual of [(101, 2), 26, 108]-NRT-code)	[i]
11	Linear OOA(4¹⁷⁵, 100, F₄, 2, 106) (dual of [(100, 2), 25, 107]-NRT-code)	[i]