Information on Result #685829
Linear OA(745, 48, F7, 40) (dual of [48, 3, 41]-code), using contraction based on linear OA(793, 96, F7, 81) (dual of [96, 3, 82]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,79], and minimum distance d ≥ |{−1,0,…,79}|+1 = 82 (BCH-bound) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(754, 62, F7, 40) (dual of [62, 8, 41]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(751, 59, F7, 38) (dual of [59, 8, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(748, 56, F7, 36) (dual of [56, 8, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(755, 65, F7, 36) (dual of [65, 10, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(761, 75, F7, 38) (dual of [75, 14, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(761, 76, F7, 37) (dual of [76, 15, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(761, 76, F7, 38) (dual of [76, 15, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(761, 74, F7, 39) (dual of [74, 13, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(755, 68, F7, 35) (dual of [68, 13, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(755, 66, F7, 36) (dual of [66, 11, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(754, 63, F7, 40) (dual of [63, 9, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(753, 61, F7, 40) (dual of [61, 8, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(751, 59, F7, 39) (dual of [59, 8, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(749, 57, F7, 38) (dual of [57, 8, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(752, 60, F7, 40) (dual of [60, 8, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(752, 60, F7, 39) (dual of [60, 8, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 17 | Linear OA(749, 57, F7, 37) (dual of [57, 8, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(760, 70, F7, 40) (dual of [70, 10, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(763, 77, F7, 39) (dual of [77, 14, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(762, 75, F7, 39) (dual of [75, 13, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(756, 69, F7, 35) (dual of [69, 13, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(762, 77, F7, 38) (dual of [77, 15, 39]-code) | [i] | ✔ | |
| 23 | Linear OOA(745, 24, F7, 2, 40) (dual of [(24, 2), 3, 41]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(745, 16, F7, 3, 40) (dual of [(16, 3), 3, 41]-NRT-code) | [i] | ||