Information on Result #682252
Linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OA(5137, 390633, F5, 22) (dual of [390633, 390496, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5130, 390634, F5, 21) (dual of [390634, 390504, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(5130, 390642, F5, 20) (dual of [390642, 390512, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(5132, 390644, F5, 21) (dual of [390644, 390512, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(5133, 390651, F5, 21) (dual of [390651, 390518, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(5134, 390654, F5, 21) (dual of [390654, 390520, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(5132, 390652, F5, 20) (dual of [390652, 390520, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(5137, 390665, F5, 21) (dual of [390665, 390528, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(5134, 390662, F5, 20) (dual of [390662, 390528, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(5141, 390677, F5, 21) (dual of [390677, 390536, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(5139, 390675, F5, 20) (dual of [390675, 390536, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(5140, 390670, F5, 21) (dual of [390670, 390530, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(5138, 390669, F5, 20) (dual of [390669, 390531, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(5138, 390671, F5, 20) (dual of [390671, 390533, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(5138, 390674, F5, 20) (dual of [390674, 390536, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(5139, 390636, F5, 22) (dual of [390636, 390497, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(5131, 390636, F5, 21) (dual of [390636, 390505, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(5131, 390644, F5, 20) (dual of [390644, 390513, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(5136, 390658, F5, 21) (dual of [390658, 390522, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(5135, 390656, F5, 21) (dual of [390656, 390521, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(5133, 390654, F5, 20) (dual of [390654, 390521, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(5130, 390651, F5, 19) (dual of [390651, 390521, 20]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 24 | Linear OOA(5129, 130208, F5, 3, 21) (dual of [(130208, 3), 390495, 22]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(5129, 39062, F5, 21, 21) (dual of [(39062, 21), 820173, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |