MinT - Information on Result #635194

Information on Result #635194

Linear OA(4²⁰⁹, 215, F₄, 155) (dual of [215, 6, 156]-code), using concatenation of two codes based on

linear OA(16⁴⁰, 43, F₁₆, 38) (dual of [43, 3, 39]-code), using
- 9 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(4²⁰⁹, 215, F₄, 154) (dual of [215, 6, 155]-code)	[i]		Strength Reduction
2	Linear OA(4²⁰⁹, 215, F₄, 153) (dual of [215, 6, 154]-code)	[i]
3	Linear OA(4²⁰⁹, 215, F₄, 152) (dual of [215, 6, 153]-code)	[i]
4	Linear OA(4²⁰⁹, 215, F₄, 151) (dual of [215, 6, 152]-code)	[i]
5	Linear OA(4²⁰⁸, 214, F₄, 154) (dual of [214, 6, 155]-code)	[i]		Truncation
6	Linear OA(4²⁰⁷, 213, F₄, 153) (dual of [213, 6, 154]-code)	[i]
7	Linear OA(4²⁰⁶, 212, F₄, 152) (dual of [212, 6, 153]-code)	[i]
8	Linear OA(4²⁰⁵, 211, F₄, 151) (dual of [211, 6, 152]-code)	[i]
9	Linear OA(4²⁰³, 209, F₄, 149) (dual of [209, 6, 150]-code)	[i]
10	Linear OA(4²⁰², 208, F₄, 148) (dual of [208, 6, 149]-code)	[i]
11	Linear OA(4²⁰¹, 207, F₄, 147) (dual of [207, 6, 148]-code)	[i]
12	Linear OA(4²⁰⁰, 206, F₄, 146) (dual of [206, 6, 147]-code)	[i]
13	Linear OA(4¹⁹⁸, 204, F₄, 144) (dual of [204, 6, 145]-code)	[i]
14	Linear OA(4¹⁹⁷, 203, F₄, 143) (dual of [203, 6, 144]-code)	[i]
15	Linear OA(4¹⁹⁶, 202, F₄, 142) (dual of [202, 6, 143]-code)	[i]
16	Linear OA(4¹⁹⁵, 201, F₄, 141) (dual of [201, 6, 142]-code)	[i]