Information on Result #707738
Linear OA(460, 1023, F4, 16) (dual of [1023, 963, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(460, 684, F4, 2, 16) (dual of [(684, 2), 1308, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(460, 684, F4, 3, 16) (dual of [(684, 3), 1992, 17]-NRT-code) | [i] | ||
| 3 | Digital (44, 60, 684)-net over F4 | [i] | ||
| 4 | Linear OA(468, 1036, F4, 18) (dual of [1036, 968, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(488, 1066, F4, 21) (dual of [1066, 978, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(487, 1064, F4, 21) (dual of [1064, 977, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(496, 1074, F4, 22) (dual of [1074, 978, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(495, 1067, F4, 22) (dual of [1067, 972, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(486, 1059, F4, 21) (dual of [1059, 973, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(485, 1057, F4, 21) (dual of [1057, 972, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(494, 1067, F4, 22) (dual of [1067, 973, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(484, 1052, F4, 21) (dual of [1052, 968, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(482, 1050, F4, 20) (dual of [1050, 968, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(483, 1050, F4, 21) (dual of [1050, 967, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(481, 1046, F4, 20) (dual of [1046, 965, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(4102, 1072, F4, 23) (dual of [1072, 970, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(4101, 1070, F4, 23) (dual of [1070, 969, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(492, 1060, F4, 22) (dual of [1060, 968, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(4100, 1065, F4, 23) (dual of [1065, 965, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(499, 1063, F4, 23) (dual of [1063, 964, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(487, 1049, F4, 22) (dual of [1049, 962, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(4103, 1062, F4, 24) (dual of [1062, 959, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(478, 1041, F4, 20) (dual of [1041, 963, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(494, 1057, F4, 23) (dual of [1057, 963, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(4102, 1065, F4, 24) (dual of [1065, 963, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(4103, 1066, F4, 25) (dual of [1066, 963, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(4102, 1064, F4, 25) (dual of [1064, 962, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(4111, 1074, F4, 26) (dual of [1074, 963, 27]-code) | [i] | ✔ | |
| 29 | Linear OA(4110, 1067, F4, 26) (dual of [1067, 957, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(4119, 1079, F4, 27) (dual of [1079, 960, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(4118, 1077, F4, 27) (dual of [1077, 959, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(4110, 1073, F4, 26) (dual of [1073, 963, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(4118, 1081, F4, 27) (dual of [1081, 963, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(4125, 1084, F4, 28) (dual of [1084, 959, 29]-code) | [i] | ✔ | |
| 35 | Linear OOA(460, 341, F4, 3, 16) (dual of [(341, 3), 963, 17]-NRT-code) | [i] | OOA Folding | |