MinT - Information on Result #1029197

Information on Result #1029197

Linear OOA(4²⁰⁶, 70, F₄, 3, 181) (dual of [(70, 3), 4, 182]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹², 14, F₁₆, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(16¹², 16, F₁₆, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
  - Reedâ€“Solomon code RS(4,16) [i]
linear OOA(4¹³, 5, F₄, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;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(4²⁰⁶, 70, F₄, 3, 180) (dual of [(70, 3), 4, 181]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁰⁴, 69, F₄, 3, 179) (dual of [(69, 3), 3, 180]-NRT-code)	[i]		Truncation for OOAs
3	Linear OOA(4²⁰³, 69, F₄, 3, 178) (dual of [(69, 3), 4, 179]-NRT-code)	[i]
4	Linear OOA(4¹⁹⁹, 67, F₄, 3, 174) (dual of [(67, 3), 2, 175]-NRT-code)	[i]
5	Linear OOA(4¹⁹⁷, 67, F₄, 3, 172) (dual of [(67, 3), 4, 173]-NRT-code)	[i]
6	Linear OOA(4¹⁹⁴, 66, F₄, 3, 169) (dual of [(66, 3), 4, 170]-NRT-code)	[i]
7	Linear OOA(4¹⁸⁴, 62, F₄, 3, 159) (dual of [(62, 3), 2, 160]-NRT-code)	[i]
8	Linear OOA(4¹⁸³, 62, F₄, 3, 158) (dual of [(62, 3), 3, 159]-NRT-code)	[i]
9	Linear OOA(4¹⁸², 62, F₄, 3, 157) (dual of [(62, 3), 4, 158]-NRT-code)	[i]
10	Linear OOA(4¹⁸¹, 61, F₄, 3, 156) (dual of [(61, 3), 2, 157]-NRT-code)	[i]
11	Linear OOA(4¹⁸⁰, 61, F₄, 3, 155) (dual of [(61, 3), 3, 156]-NRT-code)	[i]
12	Linear OOA(4¹⁷⁵, 59, F₄, 3, 150) (dual of [(59, 3), 2, 151]-NRT-code)	[i]
13	Linear OOA(4¹⁷², 58, F₄, 3, 147) (dual of [(58, 3), 2, 148]-NRT-code)	[i]