Information on Result #2238087
Linear OA(464, 16391, F4, 12) (dual of [16391, 16327, 13]-code), using 1 times truncation based on linear OA(465, 16392, F4, 13) (dual of [16392, 16327, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(464, 9365, F4, 2, 12) (dual of [(9365, 2), 18666, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(464, 9365, F4, 3, 12) (dual of [(9365, 3), 28031, 13]-NRT-code) | [i] | ||
| 3 | Digital (52, 64, 9365)-net over F4 | [i] | ||
| 4 | Linear OOA(464, 8195, F4, 2, 12) (dual of [(8195, 2), 16326, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(464, 5463, F4, 3, 12) (dual of [(5463, 3), 16325, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(464, 2731, F4, 12, 12) (dual of [(2731, 12), 32708, 13]-NRT-code) | [i] | OA Folding and Stacking | |