Information on Result #972514
Linear OOA(5105, 130211, F5, 3, 17) (dual of [(130211, 3), 390528, 18]-NRT-code), using OOA 3-folding based on linear OA(5105, 390633, F5, 17) (dual of [390633, 390528, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(5106, 130211, F5, 3, 17) (dual of [(130211, 3), 390527, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5116, 130227, F5, 3, 17) (dual of [(130227, 3), 390565, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(5117, 130229, F5, 3, 17) (dual of [(130229, 3), 390570, 18]-NRT-code) | [i] | ||