Information on Result #718320
Linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61
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 Narrow-Sense BCH-Codes [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 OA(9150, 156, F9, 121) (dual of [156, 6, 122]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9149, 154, F9, 121) (dual of [154, 5, 122]-code) | [i] | ||
| 3 | Linear OA(9150, 155, F9, 122) (dual of [155, 5, 123]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(994, 118, F9, 60) (dual of [118, 24, 61]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(993, 116, F9, 60) (dual of [116, 23, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(992, 114, F9, 60) (dual of [114, 22, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(991, 111, F9, 60) (dual of [111, 20, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(983, 94, F9, 62) (dual of [94, 11, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(999, 114, F9, 70) (dual of [114, 15, 71]-code) | [i] | ✔ | |
| 10 | Linear OA(998, 112, F9, 70) (dual of [112, 14, 71]-code) | [i] | ✔ | |
| 11 | Linear OA(997, 110, F9, 70) (dual of [110, 13, 71]-code) | [i] | ✔ | |
| 12 | Linear OA(9104, 120, F9, 71) (dual of [120, 16, 72]-code) | [i] | ✔ | |
| 13 | Linear OA(9103, 118, F9, 71) (dual of [118, 15, 72]-code) | [i] | ✔ | |
| 14 | Linear OA(9102, 116, F9, 71) (dual of [116, 14, 72]-code) | [i] | ✔ | |
| 15 | Linear OA(9101, 114, F9, 71) (dual of [114, 13, 72]-code) | [i] | ✔ | |
| 16 | Linear OA(991, 103, F9, 67) (dual of [103, 12, 68]-code) | [i] | ✔ | |
| 17 | Linear OA(988, 100, F9, 65) (dual of [100, 12, 66]-code) | [i] | ✔ | |
| 18 | Linear OA(989, 100, F9, 66) (dual of [100, 11, 67]-code) | [i] | ✔ | |
| 19 | Linear OA(990, 100, F9, 67) (dual of [100, 10, 68]-code) | [i] | ✔ | |
| 20 | Linear OA(9102, 117, F9, 71) (dual of [117, 15, 72]-code) | [i] | ✔ | |
| 21 | Linear OA(9101, 115, F9, 71) (dual of [115, 14, 72]-code) | [i] | ✔ | |
| 22 | Linear OA(9100, 113, F9, 71) (dual of [113, 13, 72]-code) | [i] | ✔ | |
| 23 | Linear OA(999, 111, F9, 71) (dual of [111, 12, 72]-code) | [i] | ✔ | |
| 24 | Linear OA(996, 108, F9, 70) (dual of [108, 12, 71]-code) | [i] | ✔ | |
| 25 | Linear OA(992, 102, F9, 69) (dual of [102, 10, 70]-code) | [i] | ✔ | |
| 26 | Linear OA(989, 99, F9, 67) (dual of [99, 10, 68]-code) | [i] | ✔ | |
| 27 | Linear OA(9118, 133, F9, 79) (dual of [133, 15, 80]-code) | [i] | ✔ | |
| 28 | Linear OA(9116, 131, F9, 78) (dual of [131, 15, 79]-code) | [i] | ✔ | |
| 29 | Linear OA(9114, 129, F9, 77) (dual of [129, 15, 78]-code) | [i] | ✔ | |
| 30 | Linear OA(9112, 127, F9, 76) (dual of [127, 15, 77]-code) | [i] | ✔ | |
| 31 | Linear OA(9110, 125, F9, 75) (dual of [125, 15, 76]-code) | [i] | ✔ | |
| 32 | Linear OA(9114, 128, F9, 78) (dual of [128, 14, 79]-code) | [i] | ✔ | |
| 33 | Linear OA(9112, 126, F9, 77) (dual of [126, 14, 78]-code) | [i] | ✔ | |
| 34 | Linear OA(9110, 124, F9, 76) (dual of [124, 14, 77]-code) | [i] | ✔ | |
| 35 | Linear OA(9114, 127, F9, 79) (dual of [127, 13, 80]-code) | [i] | ✔ | |
| 36 | Linear OA(9112, 125, F9, 78) (dual of [125, 13, 79]-code) | [i] | ✔ | |
| 37 | Linear OA(9110, 123, F9, 77) (dual of [123, 13, 78]-code) | [i] | ✔ | |
| 38 | Linear OA(9108, 118, F9, 79) (dual of [118, 10, 80]-code) | [i] | ✔ | |
| 39 | Linear OA(9100, 110, F9, 72) (dual of [110, 10, 73]-code) | [i] | ✔ | |
| 40 | Linear OOA(972, 40, F9, 2, 60) (dual of [(40, 2), 8, 61]-NRT-code) | [i] | OOA Folding | |