Information on Result #684060
Linear OA(5122, 130, F5, 95) (dual of [130, 8, 96]-code), using construction X applied to Ce(98) ⊂ Ce(92) based on
- linear OA(5121, 125, F5, 99) (dual of [125, 4, 100]-code), using an extension Ce(98) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,98], and designed minimum distance d ≥ |I|+1 = 99 [i]
- 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 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(5122, 130, F5, 94) (dual of [130, 8, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5122, 130, F5, 93) (dual of [130, 8, 94]-code) | [i] | ||
| 3 | Linear OA(5122, 130, F5, 92) (dual of [130, 8, 93]-code) | [i] | ||
| 4 | Linear OA(5122, 130, F5, 91) (dual of [130, 8, 92]-code) | [i] | ||
| 5 | Linear OA(5122, 130, F5, 90) (dual of [130, 8, 91]-code) | [i] | ||
| 6 | Linear OOA(5122, 65, F5, 2, 95) (dual of [(65, 2), 8, 96]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(5122, 43, F5, 3, 95) (dual of [(43, 3), 7, 96]-NRT-code) | [i] | ||