Information on Result #682276
Linear OA(5122, 390642, F5, 19) (dual of [390642, 390520, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) 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(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(5122, 195321, F5, 2, 19) (dual of [(195321, 2), 390520, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5122, 130214, F5, 3, 19) (dual of [(130214, 3), 390520, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(5122, 43404, F5, 19, 19) (dual of [(43404, 19), 824554, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |