Information on Result #1453841
Linear OOA(1678, 71276, F16, 2, 20) (dual of [(71276, 2), 142474, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1678, 71276, F16, 20) (dual of [71276, 71198, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1678, 131072, F16, 20) (dual of [131072, 130994, 21]-code), using
- trace code [i] based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- trace code [i] based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 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(1678, 14255, F16, 22, 20) (dual of [(14255, 22), 313532, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |