Information on Result #717653
Linear OA(933, 80, F9, 21) (dual of [80, 47, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3124, 174, F3, 43) (dual of [174, 50, 44]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(3123, 171, F3, 43) (dual of [171, 48, 44]-code) | [i] | ||
| 3 | Linear OA(3122, 168, F3, 43) (dual of [168, 46, 44]-code) | [i] | ||
| 4 | Linear OA(3121, 165, F3, 43) (dual of [165, 44, 44]-code) | [i] | ||
| 5 | Linear OA(3120, 162, F3, 43) (dual of [162, 42, 44]-code) | [i] | ||
| 6 | Linear OA(3119, 159, F3, 43) (dual of [159, 40, 44]-code) | [i] | ||
| 7 | Linear OA(3118, 156, F3, 43) (dual of [156, 38, 44]-code) | [i] | ||
| 8 | Linear OA(3117, 153, F3, 43) (dual of [153, 36, 44]-code) | [i] | ||
| 9 | Linear OA(3116, 150, F3, 43) (dual of [150, 34, 44]-code) | [i] | ||
| 10 | Linear OA(3115, 147, F3, 43) (dual of [147, 32, 44]-code) | [i] | ||
| 11 | Linear OA(3114, 144, F3, 43) (dual of [144, 30, 44]-code) | [i] | ||
| 12 | Linear OA(3113, 141, F3, 43) (dual of [141, 28, 44]-code) | [i] | ||
| 13 | Linear OA(3112, 138, F3, 43) (dual of [138, 26, 44]-code) | [i] | ||
| 14 | Linear OA(3206, 280, F3, 65) (dual of [280, 74, 66]-code) | [i] | ||
| 15 | Linear OA(943, 100, F9, 22) (dual of [100, 57, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(942, 98, F9, 22) (dual of [98, 56, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(941, 95, F9, 22) (dual of [95, 54, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(945, 101, F9, 23) (dual of [101, 56, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(939, 91, F9, 22) (dual of [91, 52, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(938, 88, F9, 22) (dual of [88, 50, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(942, 94, F9, 23) (dual of [94, 52, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(945, 97, F9, 24) (dual of [97, 52, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(959, 109, F9, 30) (dual of [109, 50, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(937, 84, F9, 23) (dual of [84, 47, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(940, 87, F9, 24) (dual of [87, 47, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(943, 90, F9, 25) (dual of [90, 47, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(946, 92, F9, 26) (dual of [92, 46, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(950, 97, F9, 27) (dual of [97, 47, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(960, 107, F9, 32) (dual of [107, 47, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(958, 102, F9, 32) (dual of [102, 44, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(963, 110, F9, 33) (dual of [110, 47, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(946, 93, F9, 26) (dual of [93, 47, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(949, 95, F9, 27) (dual of [95, 46, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(961, 105, F9, 33) (dual of [105, 44, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(966, 113, F9, 34) (dual of [113, 47, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(969, 113, F9, 35) (dual of [113, 44, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(949, 96, F9, 27) (dual of [96, 47, 28]-code) | [i] | ✔ | |
| 38 | Linear OA(964, 108, F9, 34) (dual of [108, 44, 35]-code) | [i] | ✔ | |
| 39 | Linear OA(969, 116, F9, 35) (dual of [116, 47, 36]-code) | [i] | ✔ | |
| 40 | Linear OA(973, 118, F9, 39) (dual of [118, 45, 40]-code) | [i] | ✔ | |
| 41 | Linear OA(977, 122, F9, 40) (dual of [122, 45, 41]-code) | [i] | ✔ | |
| 42 | Linear OA(975, 119, F9, 40) (dual of [119, 44, 41]-code) | [i] | ✔ | |