MinT - Information on Result #635155

Information on Result #635155

Linear OA(4¹⁹⁴, 200, F₄, 143) (dual of [200, 6, 144]-code), using concatenation of two codes based on

linear OA(16³⁷, 40, F₁₆, 35) (dual of [40, 3, 36]-code), using
- 12 times truncation [i] based on linear OA(16⁴⁹, 52, F₁₆, 47) (dual of [52, 3, 48]-code), using
  - Denniston code D(2,16) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(4¹⁹⁴, 200, F₄, 142) (dual of [200, 6, 143]-code)	[i]		Strength Reduction
2	Linear OA(4¹⁹⁴, 200, F₄, 141) (dual of [200, 6, 142]-code)	[i]
3	Linear OA(4¹⁹⁴, 200, F₄, 140) (dual of [200, 6, 141]-code)	[i]
4	Linear OA(4¹⁹³, 199, F₄, 142) (dual of [199, 6, 143]-code)	[i]		Truncation
5	Linear OA(4¹⁹¹, 197, F₄, 140) (dual of [197, 6, 141]-code)	[i]
6	Linear OA(4¹⁹⁰, 196, F₄, 139) (dual of [196, 6, 140]-code)	[i]
7	Linear OA(4¹⁸⁸, 194, F₄, 137) (dual of [194, 6, 138]-code)	[i]
8	Linear OA(4¹⁸⁷, 193, F₄, 136) (dual of [193, 6, 137]-code)	[i]
9	Linear OA(4¹⁸⁵, 191, F₄, 134) (dual of [191, 6, 135]-code)	[i]
10	Linear OA(4¹⁸³, 189, F₄, 132) (dual of [189, 6, 133]-code)	[i]
11	Linear OA(4¹⁸², 188, F₄, 131) (dual of [188, 6, 132]-code)	[i]
12	Linear OA(4¹⁸¹, 187, F₄, 130) (dual of [187, 6, 131]-code)	[i]
13	Linear OA(4¹⁸⁰, 186, F₄, 129) (dual of [186, 6, 130]-code)	[i]
14	Linear OA(4¹⁷⁸, 184, F₄, 127) (dual of [184, 6, 128]-code)	[i]
15	Linear OOA(4¹⁹⁴, 100, F₄, 2, 143) (dual of [(100, 2), 6, 144]-NRT-code)	[i]		OOA Folding