Information on Result #701430
Linear OA(738, 48, F7, 27) (dual of [48, 10, 28]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,10,11,12,13,16,17,18,20,27,34,40,41}, and minimum distance d ≥ |{−8,−7,…,18}|+1 = 28 (BCH-bound)
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 Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(750, 75, F7, 27) (dual of [75, 25, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(749, 73, F7, 27) (dual of [73, 24, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(748, 71, F7, 27) (dual of [71, 23, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(747, 68, F7, 27) (dual of [68, 21, 28]-code) | [i] | ✔ | |