Information on Result #1536648
Linear OOA(4128, 136216, F4, 3, 18) (dual of [(136216, 3), 408520, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4128, 136216, F4, 18) (dual of [136216, 136088, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4128, 262190, F4, 18) (dual of [262190, 262062, 19]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4125, 262187, F4, 18) (dual of [262187, 262062, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4125, 262187, F4, 18) (dual of [262187, 262062, 19]-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(4128, 45405, F4, 21, 18) (dual of [(45405, 21), 953377, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |