MinT - Information on Result #907768

Information on Result #907768

Linear OOA(3²⁵⁰, 126, F₃, 2, 218) (dual of [(126, 2), 2, 219]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁸², 42, F₃, 2, 72) (dual of [(42, 2), 2, 73]-NRT-code), using

4 step truncation [i] based on linear OOA(3⁸⁶, 44, F₃, 2, 76) (dual of [(44, 2), 2, 77]-NRT-code), using
- repeating each code word 11 times [i] based on linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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		Method
1	Linear OOA(3²⁵⁰, 126, F₃, 2, 217) (dual of [(126, 2), 2, 218]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁵⁰, 126, F₃, 2, 216) (dual of [(126, 2), 2, 217]-NRT-code)	[i]
3	Linear OOA(3²⁵⁰, 126, F₃, 2, 215) (dual of [(126, 2), 2, 216]-NRT-code)	[i]
4	Linear OOA(3²⁵⁰, 126, F₃, 2, 214) (dual of [(126, 2), 2, 215]-NRT-code)	[i]
5	Linear OOA(3²⁵⁰, 126, F₃, 2, 213) (dual of [(126, 2), 2, 214]-NRT-code)	[i]
6	Linear OOA(3²⁵⁰, 126, F₃, 2, 212) (dual of [(126, 2), 2, 213]-NRT-code)	[i]
7	Linear OOA(3²⁵⁰, 126, F₃, 2, 211) (dual of [(126, 2), 2, 212]-NRT-code)	[i]
8	Linear OOA(3²⁵⁰, 126, F₃, 2, 210) (dual of [(126, 2), 2, 211]-NRT-code)	[i]
9	Linear OOA(3²⁴⁸, 125, F₃, 2, 216) (dual of [(125, 2), 2, 217]-NRT-code)	[i]	Truncation for OOAs
10	Linear OOA(3²⁴⁴, 123, F₃, 2, 212) (dual of [(123, 2), 2, 213]-NRT-code)	[i]
11	Linear OOA(3²⁴², 122, F₃, 2, 210) (dual of [(122, 2), 2, 211]-NRT-code)	[i]
12	Linear OOA(3²⁴⁰, 121, F₃, 2, 208) (dual of [(121, 2), 2, 209]-NRT-code)	[i]
13	Linear OOA(3²³⁶, 119, F₃, 2, 204) (dual of [(119, 2), 2, 205]-NRT-code)	[i]
14	Linear OOA(3²³⁴, 118, F₃, 2, 202) (dual of [(118, 2), 2, 203]-NRT-code)	[i]
15	Linear OOA(3²³², 117, F₃, 2, 200) (dual of [(117, 2), 2, 201]-NRT-code)	[i]
16	Linear OOA(3²²⁸, 115, F₃, 2, 196) (dual of [(115, 2), 2, 197]-NRT-code)	[i]
17	Linear OOA(3²²⁶, 114, F₃, 2, 194) (dual of [(114, 2), 2, 195]-NRT-code)	[i]
18	Linear OOA(3²²⁴, 113, F₃, 2, 192) (dual of [(113, 2), 2, 193]-NRT-code)	[i]
19	Linear OOA(3²²⁰, 111, F₃, 2, 188) (dual of [(111, 2), 2, 189]-NRT-code)	[i]
20	Linear OOA(3²¹⁸, 110, F₃, 2, 186) (dual of [(110, 2), 2, 187]-NRT-code)	[i]
21	Linear OOA(3²¹⁶, 109, F₃, 2, 184) (dual of [(109, 2), 2, 185]-NRT-code)	[i]
22	Linear OOA(3²¹², 107, F₃, 2, 180) (dual of [(107, 2), 2, 181]-NRT-code)	[i]
23	Linear OOA(3²¹⁰, 106, F₃, 2, 178) (dual of [(106, 2), 2, 179]-NRT-code)	[i]
24	Linear OOA(3²⁰⁸, 105, F₃, 2, 176) (dual of [(105, 2), 2, 177]-NRT-code)	[i]
25	Linear OOA(3²⁰⁴, 103, F₃, 2, 172) (dual of [(103, 2), 2, 173]-NRT-code)	[i]
26	Linear OOA(3²⁰², 102, F₃, 2, 170) (dual of [(102, 2), 2, 171]-NRT-code)	[i]
27	Linear OOA(3²⁰⁰, 101, F₃, 2, 168) (dual of [(101, 2), 2, 169]-NRT-code)	[i]
28	Linear OOA(3¹⁹⁴, 98, F₃, 2, 162) (dual of [(98, 2), 2, 163]-NRT-code)	[i]
29	Linear OOA(3¹⁹², 97, F₃, 2, 160) (dual of [(97, 2), 2, 161]-NRT-code)	[i]
30	Linear OOA(3¹⁸⁸, 95, F₃, 2, 156) (dual of [(95, 2), 2, 157]-NRT-code)	[i]
31	Linear OOA(3¹⁸⁶, 94, F₃, 2, 154) (dual of [(94, 2), 2, 155]-NRT-code)	[i]
32	Linear OOA(3¹⁸⁰, 91, F₃, 2, 148) (dual of [(91, 2), 2, 149]-NRT-code)	[i]
33	Linear OOA(3¹⁷⁶, 89, F₃, 2, 144) (dual of [(89, 2), 2, 145]-NRT-code)	[i]
34	Linear OOA(3¹⁷⁰, 86, F₃, 2, 138) (dual of [(86, 2), 2, 139]-NRT-code)	[i]
35	Linear OOA(3¹⁶⁸, 85, F₃, 2, 136) (dual of [(85, 2), 2, 137]-NRT-code)	[i]
36	Linear OOA(3¹⁶⁴, 83, F₃, 2, 132) (dual of [(83, 2), 2, 133]-NRT-code)	[i]
37	Linear OOA(3¹⁶², 82, F₃, 2, 130) (dual of [(82, 2), 2, 131]-NRT-code)	[i]
38	Linear OOA(3²⁵⁰, 63, F₃, 4, 218) (dual of [(63, 4), 2, 219]-NRT-code)	[i]	OOA Folding