Information on Result #1012901
Linear OOA(534, large, F5, 3, 4), using (u, u+v)-construction based on
- linear OOA(52, 6, F5, 3, 2) (dual of [(6, 3), 16, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;16,5) [i]
- linear OOA(532, 8388601, F5, 3, 4) (dual of [(8388601, 3), 25165771, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(532, 8388602, F5, 2, 4) (dual of [(8388602, 2), 16777172, 5]-NRT-code), using
- trace code [i] based on linear OOA(2516, 4194301, F25, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- trace code [i] based on linear OOA(2516, 4194301, F25, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(532, 8388602, F5, 2, 4) (dual of [(8388602, 2), 16777172, 5]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(534, large, F5, 3, 3) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(537, large, F5, 3, 4) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(540, large, F5, 3, 4) | [i] | ||
| 4 | Linear OOA(543, large, F5, 3, 4) | [i] | ||
| 5 | Linear OOA(546, large, F5, 3, 4) | [i] | ||
| 6 | Linear OOA(549, large, F5, 3, 4) | [i] | ||
| 7 | Linear OOA(552, large, F5, 3, 4) | [i] | ||
| 8 | Linear OOA(555, large, F5, 3, 4) | [i] | ||
| 9 | Linear OOA(558, large, F5, 3, 4) | [i] | ||
| 10 | Linear OOA(561, large, F5, 3, 4) | [i] | ||
| 11 | Linear OOA(564, large, F5, 3, 4) | [i] | ||
| 12 | Linear OOA(570, large, F5, 3, 4) | [i] | ||
| 13 | Linear OOA(573, large, F5, 3, 4) | [i] | ||
| 14 | Linear OOA(576, large, F5, 3, 4) | [i] | ||
| 15 | Linear OOA(579, large, F5, 3, 4) | [i] | ||
| 16 | Linear OOA(582, large, F5, 3, 4) | [i] | ||
| 17 | Linear OOA(585, large, F5, 3, 4) | [i] | ||
| 18 | Linear OOA(588, large, F5, 3, 4) | [i] | ||
| 19 | Linear OOA(591, large, F5, 3, 4) | [i] | ||
| 20 | Linear OOA(594, large, F5, 3, 4) | [i] | ||
| 21 | Linear OOA(597, large, F5, 3, 4) | [i] | ||
| 22 | Linear OOA(5100, large, F5, 3, 4) | [i] | ||
| 23 | Linear OOA(5106, large, F5, 3, 4) | [i] | ||
| 24 | Linear OOA(5109, large, F5, 3, 4) | [i] | ||
| 25 | Linear OOA(5112, large, F5, 3, 4) | [i] | ||
| 26 | Linear OOA(5115, large, F5, 3, 4) | [i] | ||
| 27 | Linear OOA(5118, large, F5, 3, 4) | [i] | ||
| 28 | Linear OOA(5121, large, F5, 3, 4) | [i] | ||
| 29 | Linear OOA(5124, large, F5, 3, 4) | [i] | ||
| 30 | Linear OOA(5127, large, F5, 3, 4) | [i] | ||
| 31 | Linear OOA(5130, large, F5, 3, 4) | [i] | ||
| 32 | Linear OOA(5133, large, F5, 3, 4) | [i] | ||
| 33 | Linear OOA(5139, large, F5, 3, 4) | [i] | ||
| 34 | Linear OOA(5142, large, F5, 3, 4) | [i] | ||
| 35 | Linear OOA(5145, large, F5, 3, 4) | [i] | ||
| 36 | Linear OOA(5148, large, F5, 3, 4) | [i] | ||
| 37 | Linear OOA(535, large, F5, 3, 4) | [i] | OOA Duplication | |
| 38 | Linear OOA(536, large, F5, 3, 4) | [i] | ||
| 39 | Linear OOA(534, large, F5, 4, 4) | [i] | Appending kth Column | |