Information on Result #2244462
Linear OA(4211, 16391, F4, 40) (dual of [16391, 16180, 41]-code), using 1 times truncation based on linear OA(4212, 16392, F4, 41) (dual of [16392, 16180, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(38) [i] based on
- linear OA(4211, 16384, F4, 41) (dual of [16384, 16173, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4204, 16384, F4, 39) (dual of [16384, 16180, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(4211, 10607, F4, 2, 40) (dual of [(10607, 2), 21003, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4211, 10607, F4, 3, 40) (dual of [(10607, 3), 31610, 41]-NRT-code) | [i] | ||
| 3 | Digital (171, 211, 10607)-net over F4 | [i] | ||
| 4 | Linear OOA(4211, 8195, F4, 2, 40) (dual of [(8195, 2), 16179, 41]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4211, 5463, F4, 3, 40) (dual of [(5463, 3), 16178, 41]-NRT-code) | [i] | ||