Information on Result #684182
Linear OA(5128, 154, F5, 74) (dual of [154, 26, 75]-code), using construction X applied to Ce(73) ⊂ Ce(62) based on
- linear OA(5114, 125, F5, 74) (dual of [125, 11, 75]-code), using an extension Ce(73) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,73], and designed minimum distance d ≥ |I|+1 = 74 [i]
- linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), 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 OOA(5128, 77, F5, 2, 74) (dual of [(77, 2), 26, 75]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5128, 51, F5, 3, 74) (dual of [(51, 3), 25, 75]-NRT-code) | [i] | ||