Information on Result #737570
Linear OA(5136, 15664, F5, 27) (dual of [15664, 15528, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
- linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(59, 39, F5, 5) (dual of [39, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), using
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 OA(5138, 15666, F5, 27) (dual of [15666, 15528, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5139, 15667, F5, 27) (dual of [15667, 15528, 28]-code) | [i] | ||
| 3 | Linear OA(5140, 15668, F5, 27) (dual of [15668, 15528, 28]-code) | [i] | ||
| 4 | Linear OA(5137, 15666, F5, 27) (dual of [15666, 15529, 28]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(5138, 15668, F5, 27) (dual of [15668, 15530, 28]-code) | [i] | ||
| 6 | Linear OA(5139, 15670, F5, 27) (dual of [15670, 15531, 28]-code) | [i] | ||
| 7 | Linear OA(5140, 15672, F5, 27) (dual of [15672, 15532, 28]-code) | [i] | ||
| 8 | Linear OOA(5136, 7832, F5, 2, 27) (dual of [(7832, 2), 15528, 28]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(5136, 5221, F5, 3, 27) (dual of [(5221, 3), 15527, 28]-NRT-code) | [i] | ||