Information on Result #826590
Linear OOA(4249, 32772, F4, 2, 42) (dual of [(32772, 2), 65295, 43]-NRT-code), using OOA 2-folding based on linear OA(4249, 65544, F4, 42) (dual of [65544, 65295, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(40) [i] based on
- linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(4251, 32773, F4, 2, 42) (dual of [(32773, 2), 65295, 43]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4250, 32772, F4, 2, 42) (dual of [(32772, 2), 65294, 43]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4249, 32772, F4, 3, 42) (dual of [(32772, 3), 98067, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (207, 249, 32772)-net over F4 | [i] | ||