Information on Result #613928
Linear OA(5139, 15625, F5, 29) (dual of [15625, 15486, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(5139, 10187, F5, 2, 29) (dual of [(10187, 2), 20235, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5139, 10187, F5, 3, 29) (dual of [(10187, 3), 30422, 30]-NRT-code) | [i] | ||
| 3 | Digital (110, 139, 10187)-net over F5 | [i] | ||
| 4 | Linear OA(5146, 15632, F5, 31) (dual of [15632, 15486, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(5139, 15631, F5, 29) (dual of [15631, 15492, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(5140, 15638, F5, 29) (dual of [15638, 15498, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(5142, 15646, F5, 29) (dual of [15646, 15504, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(5146, 15651, F5, 29) (dual of [15651, 15505, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(5147, 15657, F5, 29) (dual of [15657, 15510, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(5149, 15665, F5, 29) (dual of [15665, 15516, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(5145, 15655, F5, 29) (dual of [15655, 15510, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(5147, 15658, F5, 29) (dual of [15658, 15511, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(5148, 15664, F5, 29) (dual of [15664, 15516, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(5150, 15670, F5, 29) (dual of [15670, 15520, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(5147, 15634, F5, 31) (dual of [15634, 15487, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(5141, 15640, F5, 29) (dual of [15640, 15499, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(5146, 15653, F5, 29) (dual of [15653, 15507, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(5145, 15651, F5, 29) (dual of [15651, 15506, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(5144, 15649, F5, 29) (dual of [15649, 15505, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(5148, 15659, F5, 29) (dual of [15659, 15511, 30]-code) | [i] | ✔ | |
| 21 | Linear OOA(5139, 1116, F5, 29, 29) (dual of [(1116, 29), 32225, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |