Information on Result #614218
Linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using an extension Ce(92) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93
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(5117, 125, F5, 92) (dual of [125, 8, 93]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5117, 125, F5, 91) (dual of [125, 8, 92]-code) | [i] | ||
| 3 | Linear OA(5117, 125, F5, 90) (dual of [125, 8, 91]-code) | [i] | ||
| 4 | Linear OA(5117, 125, F5, 89) (dual of [125, 8, 90]-code) | [i] | ||
| 5 | Linear OA(5117, 125, F5, 88) (dual of [125, 8, 89]-code) | [i] | ||
| 6 | Linear OA(5117, 125, F5, 87) (dual of [125, 8, 88]-code) | [i] | ||
| 7 | Linear OA(5117, 125, F5, 86) (dual of [125, 8, 87]-code) | [i] | ||
| 8 | Linear OA(5117, 125, F5, 85) (dual of [125, 8, 86]-code) | [i] | ||
| 9 | Linear OA(5119, 127, F5, 93) (dual of [127, 8, 94]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(5118, 126, F5, 94) (dual of [126, 8, 95]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(5122, 130, F5, 95) (dual of [130, 8, 96]-code) | [i] | ✔ | |
| 12 | Linear OA(5127, 135, F5, 99) (dual of [135, 8, 100]-code) | [i] | ✔ | |
| 13 | Linear OA(5123, 131, F5, 96) (dual of [131, 8, 97]-code) | [i] | ✔ | |
| 14 | Linear OA(5132, 155, F5, 76) (dual of [155, 23, 77]-code) | [i] | ✔ | |
| 15 | Linear OA(5143, 163, F5, 86) (dual of [163, 20, 87]-code) | [i] | ✔ | |
| 16 | Linear OA(5124, 132, F5, 97) (dual of [132, 8, 98]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(5138, 161, F5, 80) (dual of [161, 23, 81]-code) | [i] | ✔ | |
| 18 | Linear OA(5137, 159, F5, 80) (dual of [159, 22, 81]-code) | [i] | ✔ | |
| 19 | Linear OA(5136, 157, F5, 80) (dual of [157, 21, 81]-code) | [i] | ✔ | |
| 20 | Linear OOA(5117, 62, F5, 2, 93) (dual of [(62, 2), 7, 94]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(5117, 41, F5, 3, 93) (dual of [(41, 3), 6, 94]-NRT-code) | [i] | ||