Information on Result #685883
Linear OA(732, 48, F7, 23) (dual of [48, 16, 24]-code), using contraction based on linear OA(780, 96, F7, 47) (dual of [96, 16, 48]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [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(732, 48, F7, 22) (dual of [48, 16, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(732, 48, F7, 21) (dual of [48, 16, 22]-code) | [i] | ||
| 3 | Linear OA(777, 90, F7, 47) (dual of [90, 13, 48]-code) | [i] | Repeating Each Code Word | |
| 4 | Linear OA(776, 88, F7, 47) (dual of [88, 12, 48]-code) | [i] | ||
| 5 | Linear OA(775, 86, F7, 47) (dual of [86, 11, 48]-code) | [i] | ||
| 6 | Linear OA(774, 84, F7, 47) (dual of [84, 10, 48]-code) | [i] | ||
| 7 | Linear OA(739, 55, F7, 26) (dual of [55, 16, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(748, 64, F7, 31) (dual of [64, 16, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(743, 59, F7, 27) (dual of [59, 16, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(750, 66, F7, 32) (dual of [66, 16, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(755, 71, F7, 33) (dual of [71, 16, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(760, 76, F7, 36) (dual of [76, 16, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(757, 73, F7, 34) (dual of [73, 16, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(742, 58, F7, 27) (dual of [58, 16, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(738, 54, F7, 26) (dual of [54, 16, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(746, 62, F7, 30) (dual of [62, 16, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(756, 72, F7, 34) (dual of [72, 16, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 18 | Linear OA(751, 67, F7, 33) (dual of [67, 16, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(749, 65, F7, 32) (dual of [65, 16, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(740, 56, F7, 27) (dual of [56, 16, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(737, 53, F7, 26) (dual of [53, 16, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(761, 77, F7, 37) (dual of [77, 16, 38]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(753, 69, F7, 33) (dual of [69, 16, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(744, 60, F7, 28) (dual of [60, 16, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(752, 68, F7, 33) (dual of [68, 16, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(741, 57, F7, 27) (dual of [57, 16, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(747, 63, F7, 31) (dual of [63, 16, 32]-code) | [i] | ✔ | |
| 28 | Linear OOA(732, 24, F7, 2, 23) (dual of [(24, 2), 16, 24]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(732, 16, F7, 3, 23) (dual of [(16, 3), 16, 24]-NRT-code) | [i] | ||