Information on Result #717685
Linear OA(937, 80, F9, 23) (dual of [80, 43, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24
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]
- 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(3228, 308, F3, 71) (dual of [308, 80, 72]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(3226, 304, F3, 71) (dual of [304, 78, 72]-code) | [i] | ||
| 3 | Linear OA(3224, 300, F3, 71) (dual of [300, 76, 72]-code) | [i] | ||
| 4 | Linear OA(3222, 296, F3, 71) (dual of [296, 74, 72]-code) | [i] | ||
| 5 | Linear OA(3220, 292, F3, 71) (dual of [292, 72, 72]-code) | [i] | ||
| 6 | Linear OA(3218, 288, F3, 71) (dual of [288, 70, 72]-code) | [i] | ||
| 7 | Linear OA(3216, 284, F3, 71) (dual of [284, 68, 72]-code) | [i] | ||
| 8 | Linear OA(3214, 280, F3, 71) (dual of [280, 66, 72]-code) | [i] | ||
| 9 | Linear OA(3212, 276, F3, 71) (dual of [276, 64, 72]-code) | [i] | ||
| 10 | Linear OA(3210, 272, F3, 71) (dual of [272, 62, 72]-code) | [i] | ||
| 11 | Linear OA(3208, 268, F3, 71) (dual of [268, 60, 72]-code) | [i] | ||
| 12 | Linear OA(3206, 264, F3, 71) (dual of [264, 58, 72]-code) | [i] | ||
| 13 | Linear OA(945, 101, F9, 23) (dual of [101, 56, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(943, 96, F9, 23) (dual of [96, 53, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(942, 94, F9, 23) (dual of [94, 52, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(939, 84, F9, 24) (dual of [84, 45, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(961, 111, F9, 31) (dual of [111, 50, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(946, 93, F9, 26) (dual of [93, 47, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(949, 95, F9, 27) (dual of [95, 46, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(945, 90, F9, 26) (dual of [90, 45, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(962, 107, F9, 33) (dual of [107, 45, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(967, 115, F9, 34) (dual of [115, 48, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(961, 105, F9, 33) (dual of [105, 44, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(966, 113, F9, 34) (dual of [113, 47, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(960, 102, F9, 33) (dual of [102, 42, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(969, 113, F9, 35) (dual of [113, 44, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(965, 110, F9, 34) (dual of [110, 45, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(941, 84, F9, 25) (dual of [84, 43, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(944, 87, F9, 26) (dual of [87, 43, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(947, 90, F9, 27) (dual of [90, 43, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(962, 102, F9, 34) (dual of [102, 40, 35]-code) | [i] | ✔ | |
| 32 | Linear OA(967, 110, F9, 35) (dual of [110, 43, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(965, 105, F9, 35) (dual of [105, 40, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(970, 113, F9, 36) (dual of [113, 43, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(971, 112, F9, 39) (dual of [112, 41, 40]-code) | [i] | ✔ | |
| 36 | Linear OA(968, 109, F9, 37) (dual of [109, 41, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(973, 113, F9, 40) (dual of [113, 40, 41]-code) | [i] | ✔ | |