Information on Result #682432
Linear OA(5106, 78132, F5, 19) (dual of [78132, 78026, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) 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(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(5106, 39066, F5, 2, 19) (dual of [(39066, 2), 78026, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5106, 26044, F5, 3, 19) (dual of [(26044, 3), 78026, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(5106, 8681, F5, 19, 19) (dual of [(8681, 19), 164833, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |