Information on Result #1588941
Linear OOA(257, 4638, F2, 4, 9) (dual of [(4638, 4), 18495, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(257, 4638, F2, 3, 9) (dual of [(4638, 3), 13857, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(257, 5461, F2, 3, 9) (dual of [(5461, 3), 16326, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(257, 16383, F2, 9) (dual of [16383, 16326, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(257, 16384, F2, 9) (dual of [16384, 16327, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(257, 16384, F2, 9) (dual of [16384, 16327, 10]-code), using
- OOA 3-folding [i] based on linear OA(257, 16383, F2, 9) (dual of [16383, 16326, 10]-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(257, 4637, F2, 5, 9) (dual of [(4637, 5), 23128, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(257, 4637, F2, 6, 9) (dual of [(4637, 6), 27765, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(257, 4637, F2, 7, 9) (dual of [(4637, 7), 32402, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(257, 4637, F2, 8, 9) (dual of [(4637, 8), 37039, 10]-NRT-code) | [i] | ||