Information on Result #714419
Linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(847, 63, F8, 34) (dual of [63, 16, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8110, 126, F8, 71) (dual of [126, 16, 72]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(8109, 124, F8, 71) (dual of [124, 15, 72]-code) | [i] | ||
| 4 | Linear OA(8171, 186, F8, 107) (dual of [186, 15, 108]-code) | [i] | ||
| 5 | Linear OA(8108, 122, F8, 71) (dual of [122, 14, 72]-code) | [i] | ||
| 6 | Linear OA(8169, 183, F8, 107) (dual of [183, 14, 108]-code) | [i] | ||
| 7 | Linear OA(8107, 120, F8, 71) (dual of [120, 13, 72]-code) | [i] | ||
| 8 | Linear OA(8167, 180, F8, 107) (dual of [180, 13, 108]-code) | [i] | ||
| 9 | Linear OA(8106, 118, F8, 71) (dual of [118, 12, 72]-code) | [i] | ||
| 10 | Linear OA(8165, 177, F8, 107) (dual of [177, 12, 108]-code) | [i] | ||
| 11 | Linear OA(8105, 116, F8, 71) (dual of [116, 11, 72]-code) | [i] | ||
| 12 | Linear OA(8163, 174, F8, 107) (dual of [174, 11, 108]-code) | [i] | ||
| 13 | Linear OA(8104, 114, F8, 71) (dual of [114, 10, 72]-code) | [i] | ||
| 14 | Linear OA(2204, 252, F2, 71) (dual of [252, 48, 72]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(861, 87, F8, 35) (dual of [87, 26, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(862, 90, F8, 34) (dual of [90, 28, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(867, 100, F8, 35) (dual of [100, 33, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 18 | Linear OA(864, 97, F8, 33) (dual of [97, 33, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(865, 97, F8, 34) (dual of [97, 32, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(866, 97, F8, 35) (dual of [97, 31, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(863, 94, F8, 33) (dual of [94, 31, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(864, 94, F8, 34) (dual of [94, 30, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(865, 94, F8, 35) (dual of [94, 29, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(866, 98, F8, 35) (dual of [98, 32, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(865, 96, F8, 35) (dual of [96, 31, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(862, 93, F8, 33) (dual of [93, 31, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(863, 93, F8, 34) (dual of [93, 30, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(864, 93, F8, 35) (dual of [93, 29, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(861, 90, F8, 33) (dual of [90, 29, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(863, 92, F8, 35) (dual of [92, 29, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(860, 89, F8, 33) (dual of [89, 29, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(861, 89, F8, 34) (dual of [89, 28, 35]-code) | [i] | ✔ | |
| 33 | Linear OA(862, 89, F8, 35) (dual of [89, 27, 36]-code) | [i] | ✔ | |
| 34 | Linear OA(862, 91, F8, 35) (dual of [91, 29, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(859, 85, F8, 35) (dual of [85, 26, 36]-code) | [i] | ✔ | |
| 36 | Linear OA(873, 97, F8, 42) (dual of [97, 24, 43]-code) | [i] | ✔ | |
| 37 | Linear OA(874, 97, F8, 44) (dual of [97, 23, 45]-code) | [i] | ✔ | |
| 38 | Linear OA(871, 94, F8, 42) (dual of [94, 23, 43]-code) | [i] | ✔ | |
| 39 | Linear OA(872, 94, F8, 43) (dual of [94, 22, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(873, 94, F8, 44) (dual of [94, 21, 45]-code) | [i] | ✔ | |
| 41 | Linear OA(870, 91, F8, 42) (dual of [91, 21, 43]-code) | [i] | ✔ | |
| 42 | Linear OA(876, 100, F8, 44) (dual of [100, 24, 45]-code) | [i] | ✔ | |
| 43 | Linear OA(872, 94, F8, 44) (dual of [94, 22, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(869, 91, F8, 42) (dual of [91, 22, 43]-code) | [i] | ✔ | |
| 45 | Linear OA(870, 91, F8, 43) (dual of [91, 21, 44]-code) | [i] | ✔ | |
| 46 | Linear OA(871, 91, F8, 44) (dual of [91, 20, 45]-code) | [i] | ✔ | |
| 47 | Linear OA(877, 100, F8, 45) (dual of [100, 23, 46]-code) | [i] | ✔ | |
| 48 | Linear OA(876, 97, F8, 45) (dual of [97, 21, 46]-code) | [i] | ✔ | |
| 49 | Linear OA(869, 89, F8, 43) (dual of [89, 20, 44]-code) | [i] | ✔ | |
| 50 | Linear OA(867, 86, F8, 42) (dual of [86, 19, 43]-code) | [i] | ✔ | |
| 51 | Linear OA(875, 97, F8, 45) (dual of [97, 22, 46]-code) | [i] | ✔ | |
| 52 | Linear OA(874, 94, F8, 45) (dual of [94, 20, 46]-code) | [i] | ✔ | |
| 53 | Linear OA(866, 84, F8, 42) (dual of [84, 18, 43]-code) | [i] | ✔ | |
| 54 | Linear OA(867, 84, F8, 43) (dual of [84, 17, 44]-code) | [i] | ✔ | |
| 55 | Linear OA(878, 100, F8, 46) (dual of [100, 22, 47]-code) | [i] | ✔ | |
| 56 | Linear OA(874, 90, F8, 48) (dual of [90, 16, 49]-code) | [i] | ✔ | |
| 57 | Linear OOA(847, 31, F8, 2, 35) (dual of [(31, 2), 15, 36]-NRT-code) | [i] | OOA Folding | |