Information on Result #836537
Linear OOA(5136, 195332, F5, 2, 21) (dual of [(195332, 2), 390528, 22]-NRT-code), using OOA 2-folding based on linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- 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 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-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 OOA(5136, 195332, F5, 2, 20) (dual of [(195332, 2), 390528, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5138, 195333, F5, 2, 21) (dual of [(195333, 2), 390528, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(5137, 195332, F5, 2, 21) (dual of [(195332, 2), 390527, 22]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(5135, 195331, F5, 2, 20) (dual of [(195331, 2), 390527, 21]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(5136, 195332, F5, 3, 21) (dual of [(195332, 3), 585860, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (115, 136, 195332)-net over F5 | [i] | ||