Information on Result #737593
Linear OA(5144, 15670, F5, 28) (dual of [15670, 15526, 29]-code), using construction X applied to Ce(27) ⊂ Ce(20) based on
- linear OA(5133, 15625, F5, 28) (dual of [15625, 15492, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-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(5144, 15670, F5, 2, 28) (dual of [(15670, 2), 31196, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5144, 15670, F5, 3, 28) (dual of [(15670, 3), 46866, 29]-NRT-code) | [i] | ||
| 3 | Digital (116, 144, 15670)-net over F5 | [i] | ||
| 4 | Linear OOA(5144, 7835, F5, 2, 28) (dual of [(7835, 2), 15526, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5144, 5223, F5, 3, 28) (dual of [(5223, 3), 15525, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(5144, 1119, F5, 28, 28) (dual of [(1119, 28), 31188, 29]-NRT-code) | [i] | OA Folding and Stacking | |