Information on Result #1679234
Linear OOA(278, 539, F2, 7, 15) (dual of [(539, 7), 3695, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(278, 539, F2, 3, 15) (dual of [(539, 3), 1539, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(278, 682, F2, 3, 15) (dual of [(682, 3), 1968, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(278, 2046, F2, 15) (dual of [2046, 1968, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using
- OOA 3-folding [i] based on linear OA(278, 2046, F2, 15) (dual of [2046, 1968, 16]-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(278, 538, F2, 8, 15) (dual of [(538, 8), 4226, 16]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(278, 538, F2, 21, 15) (dual of [(538, 21), 11220, 16]-NRT-code) | [i] | ||