Information on Result #971984
Linear OOA(572, 4194301, F5, 3, 8) (dual of [(4194301, 3), 12582831, 9]-NRT-code), using OOA 2-folding based on linear OOA(572, 8388602, F5, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
- trace code [i] based on linear OOA(2536, 4194301, F25, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2536, 8388602, F25, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2536, large, F25, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2536, large, F25, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(2536, 8388602, F25, 8) (dual of [8388602, 8388566, 9]-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(575, 4194302, F5, 3, 8) (dual of [(4194302, 3), 12582831, 9]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(573, 4194301, F5, 3, 8) (dual of [(4194301, 3), 12582830, 9]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(574, 4194301, F5, 3, 8) (dual of [(4194301, 3), 12582829, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(576, 4194307, F5, 3, 8) (dual of [(4194307, 3), 12582845, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(577, 4194313, F5, 3, 8) (dual of [(4194313, 3), 12582862, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(578, 4194328, F5, 3, 8) (dual of [(4194328, 3), 12582906, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(579, 4194345, F5, 3, 8) (dual of [(4194345, 3), 12582956, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(580, 4194379, F5, 3, 8) (dual of [(4194379, 3), 12583057, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(581, 4194438, F5, 3, 8) (dual of [(4194438, 3), 12583233, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(583, 4194601, F5, 3, 8) (dual of [(4194601, 3), 12583720, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(584, 4194901, F5, 3, 8) (dual of [(4194901, 3), 12584619, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(586, 4194929, F5, 3, 8) (dual of [(4194929, 3), 12584701, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(587, 4195082, F5, 3, 8) (dual of [(4195082, 3), 12585159, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(588, 4195866, F5, 3, 8) (dual of [(4195866, 3), 12587510, 9]-NRT-code) | [i] | ||
| 15 | Linear OOA(589, 4195869, F5, 3, 8) (dual of [(4195869, 3), 12587518, 9]-NRT-code) | [i] | ||
| 16 | Linear OOA(590, 4196254, F5, 3, 8) (dual of [(4196254, 3), 12588672, 9]-NRT-code) | [i] | ||
| 17 | Linear OOA(591, 4202116, F5, 3, 8) (dual of [(4202116, 3), 12606257, 9]-NRT-code) | [i] | ||
| 18 | Linear OOA(5103, 8388602, F5, 3, 8) (dual of [(8388602, 3), 25165703, 9]-NRT-code) | [i] | ||