Information on Result #1534835
Linear OOA(481, 131071, F4, 3, 12) (dual of [(131071, 3), 393132, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(481, 131071, F4, 2, 12) (dual of [(131071, 2), 262061, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(481, 262142, F4, 12) (dual of [262142, 262061, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 262143, F4, 12) (dual of [262143, 262062, 13]-code), using
- 1 times truncation [i] based on 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]
- 1 times truncation [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 262143, F4, 12) (dual of [262143, 262062, 13]-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(481, 65535, F4, 15, 12) (dual of [(65535, 15), 982944, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |