Information on Result #682128
Linear OA(5136, 1953134, F5, 19) (dual of [1953134, 1952998, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 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(5136, 976567, F5, 2, 19) (dual of [(976567, 2), 1952998, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5136, 651044, F5, 3, 19) (dual of [(651044, 3), 1952996, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(5136, 217014, F5, 19, 19) (dual of [(217014, 19), 4123130, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |