Information on Result #684054
Linear OA(516, 128, F5, 7) (dual of [128, 112, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(516, 125, F5, 7) (dual of [125, 109, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(520, 154, F5, 7) (dual of [154, 134, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(518, 134, F5, 7) (dual of [134, 116, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(519, 147, F5, 7) (dual of [147, 128, 8]-code) | [i] | ||
| 4 | Linear OA(520, 174, F5, 7) (dual of [174, 154, 8]-code) | [i] | ||
| 5 | Linear OOA(516, 64, F5, 2, 7) (dual of [(64, 2), 112, 8]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(516, 42, F5, 3, 7) (dual of [(42, 3), 110, 8]-NRT-code) | [i] | ||