Information on Result #737597
Linear OA(5102, 15670, F5, 19) (dual of [15670, 15568, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) 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(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(5102, 7835, F5, 2, 19) (dual of [(7835, 2), 15568, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5102, 5223, F5, 3, 19) (dual of [(5223, 3), 15567, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(5102, 1741, F5, 19, 19) (dual of [(1741, 19), 32977, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |