Information on Result #894044
Linear OOA(1638, 8388602, F16, 2, 7) (dual of [(8388602, 2), 16777166, 8]-NRT-code), using trace code based on linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-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(1640, large, F16, 2, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(1642, large, F16, 2, 7) | [i] | ||
| 3 | Linear OOA(1644, large, F16, 2, 7) | [i] | ||
| 4 | Linear OOA(1646, large, F16, 2, 7) | [i] | ||
| 5 | Linear OOA(1648, large, F16, 2, 7) | [i] | ||
| 6 | Linear OOA(1650, large, F16, 2, 7) | [i] | ||
| 7 | Linear OOA(1652, large, F16, 2, 7) | [i] | ||
| 8 | Linear OOA(1654, large, F16, 2, 7) | [i] | ||
| 9 | Linear OOA(1656, large, F16, 2, 7) | [i] | ||
| 10 | Linear OOA(1658, large, F16, 2, 7) | [i] | ||
| 11 | Linear OOA(1660, large, F16, 2, 7) | [i] | ||
| 12 | Linear OOA(1662, large, F16, 2, 7) | [i] | ||
| 13 | Linear OOA(1664, large, F16, 2, 7) | [i] | ||
| 14 | Linear OOA(1666, large, F16, 2, 7) | [i] | ||
| 15 | Linear OOA(1668, large, F16, 2, 7) | [i] | ||
| 16 | Linear OOA(1670, large, F16, 2, 7) | [i] | ||
| 17 | Linear OOA(1672, large, F16, 2, 7) | [i] | ||
| 18 | Linear OOA(1674, large, F16, 2, 7) | [i] | ||
| 19 | Linear OOA(1676, large, F16, 2, 7) | [i] | ||
| 20 | Linear OOA(1678, large, F16, 2, 7) | [i] | ||
| 21 | Linear OOA(1680, large, F16, 2, 7) | [i] | ||
| 22 | Linear OOA(1682, large, F16, 2, 7) | [i] | ||
| 23 | Linear OOA(1684, large, F16, 2, 7) | [i] | ||
| 24 | Linear OOA(1686, large, F16, 2, 7) | [i] | ||
| 25 | Linear OOA(1688, large, F16, 2, 7) | [i] | ||
| 26 | Linear OOA(1690, large, F16, 2, 7) | [i] | ||
| 27 | Linear OOA(1692, large, F16, 2, 7) | [i] | ||
| 28 | Linear OOA(1694, large, F16, 2, 7) | [i] | ||
| 29 | Linear OOA(1696, large, F16, 2, 7) | [i] | ||
| 30 | Linear OOA(1698, large, F16, 2, 7) | [i] | ||
| 31 | Linear OOA(16100, large, F16, 2, 7) | [i] | ||
| 32 | Linear OOA(16102, large, F16, 2, 7) | [i] | ||
| 33 | Linear OOA(16104, large, F16, 2, 7) | [i] | ||
| 34 | Linear OOA(16106, large, F16, 2, 7) | [i] | ||
| 35 | Linear OOA(16108, large, F16, 2, 7) | [i] | ||
| 36 | Linear OOA(16110, large, F16, 2, 7) | [i] | ||
| 37 | Linear OOA(16112, large, F16, 2, 7) | [i] | ||
| 38 | Linear OOA(16114, large, F16, 2, 7) | [i] | ||
| 39 | Linear OOA(16116, large, F16, 2, 7) | [i] | ||
| 40 | Linear OOA(16118, large, F16, 2, 7) | [i] | ||
| 41 | Linear OOA(16120, large, F16, 2, 7) | [i] | ||
| 42 | Linear OOA(16122, large, F16, 2, 7) | [i] | ||
| 43 | Linear OOA(16124, large, F16, 2, 7) | [i] | ||
| 44 | Linear OOA(16126, large, F16, 2, 7) | [i] | ||
| 45 | Linear OOA(16128, large, F16, 2, 7) | [i] | ||
| 46 | Linear OOA(16130, large, F16, 2, 7) | [i] | ||
| 47 | Linear OOA(1639, 8388602, F16, 2, 7) (dual of [(8388602, 2), 16777165, 8]-NRT-code) | [i] | OOA Duplication | |
| 48 | Linear OOA(1638, 4194300, F16, 10, 7) (dual of [(4194300, 10), 41942962, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |