MinT - Information on Result #917916

Information on Result #917916

Linear OOA(4¹⁶², 92, F₄, 2, 104) (dual of [(92, 2), 22, 105]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(16³⁵, 23, F₁₆, 2, 34) (dual of [(23, 2), 11, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16³⁵, 24, F₁₆, 2, 34) (dual of [(24, 2), 13, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [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(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reedâ€“Solomon code RS(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(4¹⁶², 92, F₄, 2, 103) (dual of [(92, 2), 22, 104]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁶², 92, F₄, 2, 102) (dual of [(92, 2), 22, 103]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(4¹⁶³, 92, F₄, 2, 104) (dual of [(92, 2), 21, 105]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(4¹⁶¹, 91, F₄, 2, 103) (dual of [(91, 2), 21, 104]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(4¹⁶⁰, 91, F₄, 2, 102) (dual of [(91, 2), 22, 103]-NRT-code)	[i]
6	Linear OOA(4¹⁵⁹, 90, F₄, 2, 101) (dual of [(90, 2), 21, 102]-NRT-code)	[i]
7	Linear OOA(4¹⁵⁸, 90, F₄, 2, 100) (dual of [(90, 2), 22, 101]-NRT-code)	[i]
8	Linear OOA(4¹⁵⁷, 89, F₄, 2, 99) (dual of [(89, 2), 21, 100]-NRT-code)	[i]
9	Linear OOA(4¹⁵⁶, 89, F₄, 2, 98) (dual of [(89, 2), 22, 99]-NRT-code)	[i]
10	Linear OOA(4¹⁵⁵, 88, F₄, 2, 97) (dual of [(88, 2), 21, 98]-NRT-code)	[i]