Information on Result #737475
Linear OA(5128, 390664, F5, 19) (dual of [390664, 390536, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-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, 195332, F5, 2, 19) (dual of [(195332, 2), 390536, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5128, 130221, F5, 3, 19) (dual of [(130221, 3), 390535, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(5128, 43407, F5, 19, 19) (dual of [(43407, 19), 824605, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |