MinT - Information on Result #610335

Information on Result #610335

Linear OA(3²²⁶, 228, F₃, 170) (dual of [228, 2, 171]-code), using repeating each code word 57 times based on linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using

extended Reedâ€“Solomon code RS_e(2,3) [i]
Hamming code H(2,3) [i]
Simplex code S(2,3) [i]
the Tetracode [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		Method
1	Linear OA(3²²⁶, 228, F₃, 169) (dual of [228, 2, 170]-code)	[i]	Strength Reduction
2	Linear OA(3²²⁶, 228, F₃, 168) (dual of [228, 2, 169]-code)	[i]
3	Linear OA(3²²⁶, 228, F₃, 167) (dual of [228, 2, 168]-code)	[i]
4	Linear OA(3²²⁶, 228, F₃, 166) (dual of [228, 2, 167]-code)	[i]
5	Linear OA(3²²⁶, 228, F₃, 165) (dual of [228, 2, 166]-code)	[i]
6	Linear OA(3²²⁶, 228, F₃, 164) (dual of [228, 2, 165]-code)	[i]
7	Linear OA(3²²⁶, 228, F₃, 163) (dual of [228, 2, 164]-code)	[i]
8	Linear OA(3²²⁶, 228, F₃, 162) (dual of [228, 2, 163]-code)	[i]
9	Linear OA(3²²⁶, 228, F₃, 161) (dual of [228, 2, 162]-code)	[i]
10	Linear OA(3²²⁶, 228, F₃, 160) (dual of [228, 2, 161]-code)	[i]
11	Linear OA(3²²⁶, 228, F₃, 159) (dual of [228, 2, 160]-code)	[i]
12	Linear OA(3²²⁶, 228, F₃, 158) (dual of [228, 2, 159]-code)	[i]
13	Linear OA(3²²⁵, 227, F₃, 169) (dual of [227, 2, 170]-code)	[i]	Truncation
14	Linear OA(3²²⁴, 226, F₃, 168) (dual of [226, 2, 169]-code)	[i]
15	Linear OA(3²²³, 225, F₃, 167) (dual of [225, 2, 168]-code)	[i]
16	Linear OA(3²²¹, 223, F₃, 165) (dual of [223, 2, 166]-code)	[i]
17	Linear OA(3²²⁰, 222, F₃, 164) (dual of [222, 2, 165]-code)	[i]
18	Linear OA(3²¹⁹, 221, F₃, 163) (dual of [221, 2, 164]-code)	[i]
19	Linear OA(3²¹⁷, 219, F₃, 161) (dual of [219, 2, 162]-code)	[i]
20	Linear OA(3²¹⁶, 218, F₃, 160) (dual of [218, 2, 161]-code)	[i]
21	Linear OA(3²¹⁵, 217, F₃, 159) (dual of [217, 2, 160]-code)	[i]
22	Linear OA(3²¹³, 215, F₃, 157) (dual of [215, 2, 158]-code)	[i]
23	Linear OA(3²¹², 214, F₃, 156) (dual of [214, 2, 157]-code)	[i]
24	Linear OA(3²¹¹, 213, F₃, 155) (dual of [213, 2, 156]-code)	[i]
25	Linear OA(3²⁰⁹, 211, F₃, 153) (dual of [211, 2, 154]-code)	[i]
26	Linear OA(3²⁰⁸, 210, F₃, 152) (dual of [210, 2, 153]-code)	[i]
27	Linear OA(3²⁰⁷, 209, F₃, 151) (dual of [209, 2, 152]-code)	[i]
28	Linear OA(3²⁰⁵, 207, F₃, 149) (dual of [207, 2, 150]-code)	[i]
29	Linear OA(3²⁰⁴, 206, F₃, 148) (dual of [206, 2, 149]-code)	[i]
30	Linear OA(3²⁰³, 205, F₃, 147) (dual of [205, 2, 148]-code)	[i]
31	Linear OA(3²⁰¹, 203, F₃, 145) (dual of [203, 2, 146]-code)	[i]
32	Linear OA(3²⁰⁰, 202, F₃, 144) (dual of [202, 2, 145]-code)	[i]
33	Linear OA(3¹⁹⁹, 201, F₃, 143) (dual of [201, 2, 144]-code)	[i]
34	Linear OA(3¹⁹⁷, 199, F₃, 141) (dual of [199, 2, 142]-code)	[i]
35	Linear OA(3¹⁹⁶, 198, F₃, 140) (dual of [198, 2, 141]-code)	[i]
36	Linear OA(3¹⁹⁵, 197, F₃, 139) (dual of [197, 2, 140]-code)	[i]
37	Linear OA(3¹⁹³, 195, F₃, 137) (dual of [195, 2, 138]-code)	[i]
38	Linear OA(3¹⁹², 194, F₃, 136) (dual of [194, 2, 137]-code)	[i]
39	Linear OA(3¹⁹¹, 193, F₃, 135) (dual of [193, 2, 136]-code)	[i]
40	Linear OA(3¹⁸⁹, 191, F₃, 133) (dual of [191, 2, 134]-code)	[i]
41	Linear OA(3¹⁸⁸, 190, F₃, 132) (dual of [190, 2, 133]-code)	[i]
42	Linear OA(3¹⁸⁷, 189, F₃, 131) (dual of [189, 2, 132]-code)	[i]
43	Linear OA(3¹⁸⁵, 187, F₃, 129) (dual of [187, 2, 130]-code)	[i]
44	Linear OOA(3²²⁶, 114, F₃, 2, 170) (dual of [(114, 2), 2, 171]-NRT-code)	[i]	OOA Folding
45	Linear OOA(3²²⁶, 76, F₃, 3, 170) (dual of [(76, 3), 2, 171]-NRT-code)	[i]	OOA Folding