Information on Result #614201
Linear OA(599, 105, F5, 78) (dual of [105, 6, 79]-code), using an extension Ce(77) of the narrow-sense BCH-code C(I) with length 104 | 54−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(599, 105, F5, 77) (dual of [105, 6, 78]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(599, 105, F5, 76) (dual of [105, 6, 77]-code) | [i] | ||
| 3 | Linear OA(5100, 106, F5, 79) (dual of [106, 6, 80]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OOA(599, 52, F5, 2, 78) (dual of [(52, 2), 5, 79]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(599, 35, F5, 3, 78) (dual of [(35, 3), 6, 79]-NRT-code) | [i] | ||