Information on Result #684121
Linear OA(5109, 136, F5, 66) (dual of [136, 27, 67]-code), using construction X applied to Ce(67) ⊂ Ce(61) based on
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(54, 11, F5, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,5)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5109, 136, F5, 65) (dual of [136, 27, 66]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5109, 136, F5, 64) (dual of [136, 27, 65]-code) | [i] | ||
| 3 | Linear OA(5109, 136, F5, 63) (dual of [136, 27, 64]-code) | [i] | ||
| 4 | Linear OA(5109, 136, F5, 62) (dual of [136, 27, 63]-code) | [i] | ||
| 5 | Linear OA(5116, 146, F5, 66) (dual of [146, 30, 67]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(5115, 144, F5, 66) (dual of [144, 29, 67]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OOA(5109, 68, F5, 2, 66) (dual of [(68, 2), 27, 67]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(5109, 45, F5, 3, 66) (dual of [(45, 3), 26, 67]-NRT-code) | [i] | ||