Information on Result #1537517
Linear OOA(4144, 152757, F4, 3, 20) (dual of [(152757, 3), 458127, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4144, 152757, F4, 20) (dual of [152757, 152613, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4144, 262188, F4, 20) (dual of [262188, 262044, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4143, 262187, F4, 20) (dual of [262187, 262044, 21]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4143, 262187, F4, 20) (dual of [262187, 262044, 21]-code), using
Mode: 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(4144, 38189, F4, 27, 20) (dual of [(38189, 27), 1030959, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |