Information on Result #737556
Linear OA(597, 15655, F5, 19) (dual of [15655, 15558, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 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 OA(598, 15656, F5, 19) (dual of [15656, 15558, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(597, 15655, F5, 2, 19) (dual of [(15655, 2), 31213, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(597, 15655, F5, 3, 19) (dual of [(15655, 3), 46868, 20]-NRT-code) | [i] | ||
| 4 | Digital (78, 97, 15655)-net over F5 | [i] | ||
| 5 | Linear OA(598, 15657, F5, 19) (dual of [15657, 15559, 20]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(599, 15659, F5, 19) (dual of [15659, 15560, 20]-code) | [i] | ||
| 7 | Linear OOA(597, 7827, F5, 2, 19) (dual of [(7827, 2), 15557, 20]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(597, 5218, F5, 3, 19) (dual of [(5218, 3), 15557, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(597, 1739, F5, 19, 19) (dual of [(1739, 19), 32944, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |