Information on Result #614222
Linear OA(5118, 125, F5, 94) (dual of [125, 7, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94
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(5125, 132, F5, 95) (dual of [132, 7, 96]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(5126, 133, F5, 96) (dual of [133, 7, 97]-code) | [i] | ||
| 3 | Linear OA(5122, 129, F5, 96) (dual of [129, 7, 97]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(5125, 131, F5, 99) (dual of [131, 6, 100]-code) | [i] | ✔ | |
| 5 | Linear OA(5126, 133, F5, 99) (dual of [133, 7, 100]-code) | [i] | ✔ | |
| 6 | Linear OA(5124, 131, F5, 98) (dual of [131, 7, 99]-code) | [i] | ✔ | |
| 7 | Linear OA(5118, 126, F5, 94) (dual of [126, 8, 95]-code) | [i] | ✔ | |
| 8 | Linear OA(5130, 137, F5, 100) (dual of [137, 7, 101]-code) | [i] | ✔ | |
| 9 | Linear OA(5150, 157, F5, 115) (dual of [157, 7, 116]-code) | [i] | ✔ | |
| 10 | Linear OA(5133, 140, F5, 102) (dual of [140, 7, 103]-code) | [i] | ✔ | |
| 11 | Linear OA(5143, 150, F5, 110) (dual of [150, 7, 111]-code) | [i] | ✔ | |
| 12 | Linear OA(5138, 145, F5, 106) (dual of [145, 7, 107]-code) | [i] | ✔ | |
| 13 | Linear OA(5124, 132, F5, 97) (dual of [132, 8, 98]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(5137, 158, F5, 80) (dual of [158, 21, 81]-code) | [i] | ✔ | |