Information on Result #894052
Linear OOA(1686, 8388602, F16, 2, 15) (dual of [(8388602, 2), 16777118, 16]-NRT-code), using trace code based on linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(1688, large, F16, 2, 15) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(1690, large, F16, 2, 15) | [i] | ||
| 3 | Linear OOA(1692, large, F16, 2, 15) | [i] | ||
| 4 | Linear OOA(1694, large, F16, 2, 15) | [i] | ||
| 5 | Linear OOA(1696, large, F16, 2, 15) | [i] | ||
| 6 | Linear OOA(1698, large, F16, 2, 15) | [i] | ||
| 7 | Linear OOA(16100, large, F16, 2, 15) | [i] | ||
| 8 | Linear OOA(16102, large, F16, 2, 15) | [i] | ||
| 9 | Linear OOA(16104, large, F16, 2, 15) | [i] | ||
| 10 | Linear OOA(16106, large, F16, 2, 15) | [i] | ||
| 11 | Linear OOA(16108, large, F16, 2, 15) | [i] | ||
| 12 | Linear OOA(16110, large, F16, 2, 15) | [i] | ||
| 13 | Linear OOA(16112, large, F16, 2, 15) | [i] | ||
| 14 | Linear OOA(16114, large, F16, 2, 15) | [i] | ||
| 15 | Linear OOA(16116, large, F16, 2, 15) | [i] | ||
| 16 | Linear OOA(16118, large, F16, 2, 15) | [i] | ||
| 17 | Linear OOA(16120, large, F16, 2, 15) | [i] | ||
| 18 | Linear OOA(16122, large, F16, 2, 15) | [i] | ||
| 19 | Linear OOA(16124, large, F16, 2, 15) | [i] | ||
| 20 | Linear OOA(16126, large, F16, 2, 15) | [i] | ||
| 21 | Linear OOA(16128, large, F16, 2, 15) | [i] | ||
| 22 | Linear OOA(16130, large, F16, 2, 15) | [i] | ||
| 23 | Linear OOA(1687, 8388602, F16, 2, 15) (dual of [(8388602, 2), 16777117, 16]-NRT-code) | [i] | OOA Duplication | |
| 24 | Linear OOA(1686, 2097150, F16, 18, 15) (dual of [(2097150, 18), 37748614, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |