Information on Result #737508
Linear OA(5113, 78160, F5, 19) (dual of [78160, 78047, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(57, 35, F5, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 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(5114, 78162, F5, 19) (dual of [78162, 78048, 20]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(5113, 39080, F5, 2, 19) (dual of [(39080, 2), 78047, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5113, 26053, F5, 3, 19) (dual of [(26053, 3), 78046, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(5113, 8684, F5, 19, 19) (dual of [(8684, 19), 164883, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |