Information on Result #701413
Linear OA(724, 48, F7, 16) (dual of [48, 24, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(760, 72, F7, 33) (dual of [72, 12, 34]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(759, 70, F7, 33) (dual of [70, 11, 34]-code) | [i] | ||
| 3 | Linear OA(746, 70, F7, 26) (dual of [70, 24, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(749, 73, F7, 27) (dual of [73, 24, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(752, 76, F7, 28) (dual of [76, 24, 29]-code) | [i] | ✔ | |
| 6 | Linear OOA(724, 24, F7, 2, 16) (dual of [(24, 2), 24, 17]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(724, 16, F7, 3, 16) (dual of [(16, 3), 24, 17]-NRT-code) | [i] | ||