Information on Result #684421
Linear OA(513, 29, F5, 8) (dual of [29, 16, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(512, 25, F5, 8) (dual of [25, 13, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 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(5109, 170, F5, 46) (dual of [170, 61, 47]-code) | [i] | Construction XX with Cyclic Codes | |
| 2 | Linear OA(5104, 158, F5, 46) (dual of [158, 54, 47]-code) | [i] | ||
| 3 | Linear OA(5102, 154, F5, 46) (dual of [154, 52, 47]-code) | [i] | ||
| 4 | Linear OOA(513, 14, F5, 2, 8) (dual of [(14, 2), 15, 9]-NRT-code) | [i] | OOA Folding | |