Information on Result #717611
Linear OA(920, 80, F9, 12) (dual of [80, 60, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9147, 786, F9, 46) (dual of [786, 639, 47]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(9141, 786, F9, 44) (dual of [786, 645, 45]-code) | [i] | ||
| 3 | Linear OA(9135, 786, F9, 42) (dual of [786, 651, 43]-code) | [i] | ||
| 4 | Linear OA(9129, 786, F9, 40) (dual of [786, 657, 41]-code) | [i] | ||
| 5 | Linear OA(9123, 786, F9, 38) (dual of [786, 663, 39]-code) | [i] | ||
| 6 | Linear OA(9117, 786, F9, 36) (dual of [786, 669, 37]-code) | [i] | ||
| 7 | Linear OA(923, 90, F9, 12) (dual of [90, 67, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(922, 87, F9, 12) (dual of [87, 65, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(922, 84, F9, 13) (dual of [84, 62, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(925, 87, F9, 14) (dual of [87, 62, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(928, 90, F9, 15) (dual of [90, 62, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(931, 92, F9, 16) (dual of [92, 61, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(924, 84, F9, 14) (dual of [84, 60, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(927, 87, F9, 15) (dual of [87, 60, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(930, 90, F9, 16) (dual of [90, 60, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(933, 92, F9, 17) (dual of [92, 59, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(933, 93, F9, 17) (dual of [93, 60, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(9146, 59124, F9, 29) (dual of [59124, 58978, 30]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(9141, 59124, F9, 28) (dual of [59124, 58983, 29]-code) | [i] | ||
| 20 | Linear OA(9141, 59129, F9, 27) (dual of [59129, 58988, 28]-code) | [i] | ||
| 21 | Linear OA(9136, 59129, F9, 26) (dual of [59129, 58993, 27]-code) | [i] | ||
| 22 | Linear OA(9147, 782, F9, 48) (dual of [782, 635, 49]-code) | [i] | ||
| 23 | Linear OA(9144, 782, F9, 47) (dual of [782, 638, 48]-code) | [i] | ||
| 24 | Linear OA(9141, 782, F9, 46) (dual of [782, 641, 47]-code) | [i] | ||
| 25 | Linear OA(9123, 782, F9, 39) (dual of [782, 659, 40]-code) | [i] | ||
| 26 | Linear OA(9120, 782, F9, 38) (dual of [782, 662, 39]-code) | [i] | ||
| 27 | Linear OA(9117, 782, F9, 37) (dual of [782, 665, 38]-code) | [i] | ||
| 28 | Linear OA(999, 782, F9, 30) (dual of [782, 683, 31]-code) | [i] | ||
| 29 | Linear OA(996, 782, F9, 29) (dual of [782, 686, 30]-code) | [i] | ||
| 30 | Linear OA(993, 782, F9, 28) (dual of [782, 689, 29]-code) | [i] | ||
| 31 | Linear OA(9141, 785, F9, 45) (dual of [785, 644, 46]-code) | [i] | ||
| 32 | Linear OA(9138, 785, F9, 44) (dual of [785, 647, 45]-code) | [i] | ||
| 33 | Linear OA(9135, 785, F9, 43) (dual of [785, 650, 44]-code) | [i] | ||
| 34 | Linear OA(9132, 785, F9, 42) (dual of [785, 653, 43]-code) | [i] | ||
| 35 | Linear OA(9129, 785, F9, 41) (dual of [785, 656, 42]-code) | [i] | ||
| 36 | Linear OA(9114, 785, F9, 35) (dual of [785, 671, 36]-code) | [i] | ||
| 37 | Linear OA(9111, 785, F9, 34) (dual of [785, 674, 35]-code) | [i] | ||
| 38 | Linear OA(9108, 785, F9, 33) (dual of [785, 677, 34]-code) | [i] | ||
| 39 | Linear OA(9105, 785, F9, 32) (dual of [785, 680, 33]-code) | [i] | ||