Information on Result #677889
Linear OA(4215, 4194387, F4, 24) (dual of [4194387, 4194172, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
- linear OA(4199, 4194305, F4, 25) (dual of [4194305, 4194106, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(4133, 4194305, F4, 17) (dual of [4194305, 4194172, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(416, 82, F4, 6) (dual of [82, 66, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-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(4215, 2168353, F4, 2, 24) (dual of [(2168353, 2), 4336491, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4215, 2168353, F4, 3, 24) (dual of [(2168353, 3), 6504844, 25]-NRT-code) | [i] | ||
| 3 | Digital (191, 215, 2168353)-net over F4 | [i] | ||
| 4 | Linear OOA(4215, 2097193, F4, 2, 24) (dual of [(2097193, 2), 4194171, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4215, 1398129, F4, 3, 24) (dual of [(1398129, 3), 4194172, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(4215, 349532, F4, 24, 24) (dual of [(349532, 24), 8388553, 25]-NRT-code) | [i] | OA Folding and Stacking | |