Information on Result #894041
Linear OOA(1620, 8388602, F16, 2, 4) (dual of [(8388602, 2), 16777184, 5]-NRT-code), using trace code based on linear OOA(25610, 4194301, F256, 2, 4) (dual of [(4194301, 2), 8388592, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-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(1622, large, F16, 2, 4) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(1624, large, F16, 2, 4) | [i] | ||
| 3 | Linear OOA(1628, large, F16, 2, 4) | [i] | ||
| 4 | Linear OOA(1630, large, F16, 2, 4) | [i] | ||
| 5 | Linear OOA(1632, large, F16, 2, 4) | [i] | ||
| 6 | Linear OOA(1634, large, F16, 2, 4) | [i] | ||
| 7 | Linear OOA(1636, large, F16, 2, 4) | [i] | ||
| 8 | Linear OOA(1638, large, F16, 2, 4) | [i] | ||
| 9 | Linear OOA(1640, large, F16, 2, 4) | [i] | ||
| 10 | Linear OOA(1642, large, F16, 2, 4) | [i] | ||
| 11 | Linear OOA(1644, large, F16, 2, 4) | [i] | ||
| 12 | Linear OOA(1646, large, F16, 2, 4) | [i] | ||
| 13 | Linear OOA(1648, large, F16, 2, 4) | [i] | ||
| 14 | Linear OOA(1650, large, F16, 2, 4) | [i] | ||
| 15 | Linear OOA(1652, large, F16, 2, 4) | [i] | ||
| 16 | Linear OOA(1654, large, F16, 2, 4) | [i] | ||
| 17 | Linear OOA(1656, large, F16, 2, 4) | [i] | ||
| 18 | Linear OOA(1658, large, F16, 2, 4) | [i] | ||
| 19 | Linear OOA(1660, large, F16, 2, 4) | [i] | ||
| 20 | Linear OOA(1662, large, F16, 2, 4) | [i] | ||
| 21 | Linear OOA(1664, large, F16, 2, 4) | [i] | ||
| 22 | Linear OOA(1666, large, F16, 2, 4) | [i] | ||
| 23 | Linear OOA(1668, large, F16, 2, 4) | [i] | ||
| 24 | Linear OOA(1670, large, F16, 2, 4) | [i] | ||
| 25 | Linear OOA(1672, large, F16, 2, 4) | [i] | ||
| 26 | Linear OOA(1674, large, F16, 2, 4) | [i] | ||
| 27 | Linear OOA(1676, large, F16, 2, 4) | [i] | ||
| 28 | Linear OOA(1678, large, F16, 2, 4) | [i] | ||
| 29 | Linear OOA(1680, large, F16, 2, 4) | [i] | ||
| 30 | Linear OOA(1682, large, F16, 2, 4) | [i] | ||
| 31 | Linear OOA(1684, large, F16, 2, 4) | [i] | ||
| 32 | Linear OOA(1686, large, F16, 2, 4) | [i] | ||
| 33 | Linear OOA(1688, large, F16, 2, 4) | [i] | ||
| 34 | Linear OOA(1690, large, F16, 2, 4) | [i] | ||
| 35 | Linear OOA(1692, large, F16, 2, 4) | [i] | ||
| 36 | Linear OOA(1694, large, F16, 2, 4) | [i] | ||
| 37 | Linear OOA(1696, large, F16, 2, 4) | [i] | ||
| 38 | Linear OOA(1698, large, F16, 2, 4) | [i] | ||
| 39 | Linear OOA(16100, large, F16, 2, 4) | [i] | ||
| 40 | Linear OOA(16102, large, F16, 2, 4) | [i] | ||
| 41 | Linear OOA(16104, large, F16, 2, 4) | [i] | ||
| 42 | Linear OOA(16106, large, F16, 2, 4) | [i] | ||
| 43 | Linear OOA(16108, large, F16, 2, 4) | [i] | ||
| 44 | Linear OOA(16110, large, F16, 2, 4) | [i] | ||
| 45 | Linear OOA(16112, large, F16, 2, 4) | [i] | ||
| 46 | Linear OOA(16114, large, F16, 2, 4) | [i] | ||
| 47 | Linear OOA(16116, large, F16, 2, 4) | [i] | ||
| 48 | Linear OOA(16118, large, F16, 2, 4) | [i] | ||
| 49 | Linear OOA(16120, large, F16, 2, 4) | [i] | ||
| 50 | Linear OOA(16122, large, F16, 2, 4) | [i] | ||
| 51 | Linear OOA(16124, large, F16, 2, 4) | [i] | ||
| 52 | Linear OOA(16126, large, F16, 2, 4) | [i] | ||
| 53 | Linear OOA(16128, large, F16, 2, 4) | [i] | ||
| 54 | Linear OOA(16130, large, F16, 2, 4) | [i] | ||
| 55 | Linear OOA(1621, 8388602, F16, 2, 4) (dual of [(8388602, 2), 16777183, 5]-NRT-code) | [i] | OOA Duplication | |
| 56 | Linear OOA(1620, 8388601, F16, 6, 4) (dual of [(8388601, 6), 50331586, 5]-NRT-code) | [i] | OOA Stacking with Additional Row | |