Information on Result #713780
Linear OA(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(764, 312, F7, 2, 25) (dual of [(312, 2), 560, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(764, 312, F7, 3, 25) (dual of [(312, 3), 872, 26]-NRT-code) | [i] | ||
3 | Digital (39, 64, 312)-net over F7 | [i] | ||
4 | Linear OA(772, 356, F7, 27) (dual of [356, 284, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(767, 348, F7, 26) (dual of [348, 281, 27]-code) | [i] | ✔ | |
6 | Linear OA(799, 391, F7, 32) (dual of [391, 292, 33]-code) | [i] | ✔ | |
7 | Linear OA(776, 357, F7, 28) (dual of [357, 281, 29]-code) | [i] | ✔ | |
8 | Linear OA(771, 352, F7, 27) (dual of [352, 281, 28]-code) | [i] | ✔ | |
9 | Linear OA(7104, 397, F7, 33) (dual of [397, 293, 34]-code) | [i] | ✔ | |
10 | Linear OA(775, 353, F7, 28) (dual of [353, 278, 29]-code) | [i] | ✔ | |
11 | Linear OA(7108, 398, F7, 34) (dual of [398, 290, 35]-code) | [i] | ✔ | |
12 | Linear OA(7100, 387, F7, 33) (dual of [387, 287, 34]-code) | [i] | ✔ | |
13 | Linear OA(793, 376, F7, 32) (dual of [376, 283, 33]-code) | [i] | ✔ | |
14 | Linear OA(798, 382, F7, 33) (dual of [382, 284, 34]-code) | [i] | ✔ | |
15 | Linear OA(792, 372, F7, 32) (dual of [372, 280, 33]-code) | [i] | ✔ | |
16 | Linear OA(797, 378, F7, 33) (dual of [378, 281, 34]-code) | [i] | ✔ | |
17 | Linear OA(770, 348, F7, 27) (dual of [348, 278, 28]-code) | [i] | ✔ | |
18 | Linear OA(774, 352, F7, 28) (dual of [352, 278, 29]-code) | [i] | ✔ | |
19 | Linear OA(795, 372, F7, 33) (dual of [372, 277, 34]-code) | [i] | ✔ | |
20 | Linear OA(7100, 378, F7, 34) (dual of [378, 278, 35]-code) | [i] | ✔ | |
21 | Linear OA(799, 376, F7, 34) (dual of [376, 277, 35]-code) | [i] | ✔ | |
22 | Linear OA(7104, 382, F7, 35) (dual of [382, 278, 36]-code) | [i] | ✔ | |
23 | Linear OA(7102, 380, F7, 35) (dual of [380, 278, 36]-code) | [i] | ✔ | |
24 | Linear OA(7105, 382, F7, 36) (dual of [382, 277, 37]-code) | [i] | ✔ | |
25 | Linear OA(7110, 388, F7, 37) (dual of [388, 278, 38]-code) | [i] | ✔ |