Information on Result #682669
Linear OA(592, 15638, F5, 19) (dual of [15638, 15546, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) 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(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(51, 13, F5, 1) (dual of [13, 12, 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(592, 9884, F5, 2, 19) (dual of [(9884, 2), 19676, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(592, 9884, F5, 3, 19) (dual of [(9884, 3), 29560, 20]-NRT-code) | [i] | ||
| 3 | Digital (73, 92, 9884)-net over F5 | [i] | ||
| 4 | Linear OOA(592, 7819, F5, 2, 19) (dual of [(7819, 2), 15546, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(592, 5212, F5, 3, 19) (dual of [(5212, 3), 15544, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(592, 1737, F5, 19, 19) (dual of [(1737, 19), 32911, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |