Information on Result #737476
Linear OA(5120, 390664, F5, 18) (dual of [390664, 390544, 19]-code), using construction X applied to Ce(17) ⊂ Ce(12) based on
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(581, 390625, F5, 13) (dual of [390625, 390544, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(5120, 195332, F5, 2, 18) (dual of [(195332, 2), 390544, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5120, 130221, F5, 3, 18) (dual of [(130221, 3), 390543, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(5120, 43407, F5, 18, 18) (dual of [(43407, 18), 781206, 19]-NRT-code) | [i] | OA Folding and Stacking | |