Information on Result #1540461
Linear OOA(4189, 108102, F4, 3, 28) (dual of [(108102, 3), 324117, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4189, 108102, F4, 2, 28) (dual of [(108102, 2), 216015, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4189, 131071, F4, 2, 28) (dual of [(131071, 2), 261953, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4189, 262142, F4, 28) (dual of [262142, 261953, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4189, 262143, F4, 28) (dual of [262143, 261954, 29]-code), using
- 1 times truncation [i] based on linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 1 times truncation [i] based on linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4189, 262143, F4, 28) (dual of [262143, 261954, 29]-code), using
- OOA 2-folding [i] based on linear OA(4189, 262142, F4, 28) (dual of [262142, 261953, 29]-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(4189, 21620, F4, 33, 28) (dual of [(21620, 33), 713271, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |