Information on Result #1106762
Linear OOA(25643, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388557, 16]-NRT-code), using OOA 5-folding based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 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]
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(25643, 1677720, F256, 5, 14) (dual of [(1677720, 5), 8388557, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(25648, 1677721, F256, 5, 15) (dual of [(1677721, 5), 8388557, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(25644, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388556, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(25645, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388555, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(25647, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388553, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(25650, 1677977, F256, 5, 15) (dual of [(1677977, 5), 8389835, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25651, 1677978, F256, 5, 15) (dual of [(1677978, 5), 8389839, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(25652, 1677979, F256, 5, 15) (dual of [(1677979, 5), 8389843, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(25653, 1678234, F256, 5, 15) (dual of [(1678234, 5), 8391117, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(25654, 1678235, F256, 5, 15) (dual of [(1678235, 5), 8391121, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(25655, 1678490, F256, 5, 15) (dual of [(1678490, 5), 8392395, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(25656, 1699565, F256, 5, 15) (dual of [(1699565, 5), 8497769, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(25657, 1699567, F256, 5, 15) (dual of [(1699567, 5), 8497778, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(25659, 1743511, F256, 5, 15) (dual of [(1743511, 5), 8717496, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(25660, 1743512, F256, 5, 15) (dual of [(1743512, 5), 8717500, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(25661, 1743513, F256, 5, 15) (dual of [(1743513, 5), 8717504, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(25662, 3355440, F256, 5, 15) (dual of [(3355440, 5), 16777138, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(25655, 1678491, F256, 5, 15) (dual of [(1678491, 5), 8392400, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(25659, 1743512, F256, 5, 15) (dual of [(1743512, 5), 8717501, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(25660, 1743513, F256, 5, 15) (dual of [(1743513, 5), 8717505, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(25661, 1743514, F256, 5, 15) (dual of [(1743514, 5), 8717509, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(25667, 3355697, F256, 5, 15) (dual of [(3355697, 5), 16778418, 16]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 23 | Linear OOA(25668, 3355698, F256, 5, 15) (dual of [(3355698, 5), 16778422, 16]-NRT-code) | [i] | ||