Information on Result #678453
Linear OA(4134, 262187, F4, 19) (dual of [262187, 262053, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(4127, 262144, F4, 19) (dual of [262144, 262017, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 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(4135, 262188, F4, 19) (dual of [262188, 262053, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4136, 262189, F4, 19) (dual of [262189, 262053, 20]-code) | [i] | ||
| 3 | Linear OOA(4134, 131093, F4, 2, 19) (dual of [(131093, 2), 262052, 20]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4134, 87395, F4, 3, 19) (dual of [(87395, 3), 262051, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(4134, 29131, F4, 19, 19) (dual of [(29131, 19), 553355, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |