Information on Result #683535
Linear OA(5147, 645, F5, 45) (dual of [645, 498, 46]-code), using construction X applied to Ce(45) ⊂ Ce(40) based on
- linear OA(5143, 625, F5, 46) (dual of [625, 482, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5127, 625, F5, 41) (dual of [625, 498, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(54, 20, F5, 3) (dual of [20, 16, 4]-code or 20-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 OOA(5147, 215, F5, 3, 45) (dual of [(215, 3), 498, 46]-NRT-code) | [i] | OOA Folding | |