Information on Result #614230
Linear OA(719, 117649, F7, 4) (dual of [117649, 117630, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(725, 117655, F7, 5) (dual of [117655, 117630, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(719, 117655, F7, 4) (dual of [117655, 117636, 5]-code) | [i] | ✔ | |
| 3 | Linear OA(741, 117671, F7, 8) (dual of [117671, 117630, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(748, 117673, F7, 9) (dual of [117673, 117625, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(742, 117673, F7, 8) (dual of [117673, 117631, 9]-code) | [i] | ✔ | |