Information on Result #2243952
Linear OA(4169, 16391, F4, 32) (dual of [16391, 16222, 33]-code), using 1 times truncation based on linear OA(4170, 16392, F4, 33) (dual of [16392, 16222, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(4169, 9421, F4, 2, 32) (dual of [(9421, 2), 18673, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4169, 9421, F4, 3, 32) (dual of [(9421, 3), 28094, 33]-NRT-code) | [i] | ||
| 3 | Digital (137, 169, 9421)-net over F4 | [i] | ||
| 4 | Linear OOA(4169, 8195, F4, 2, 32) (dual of [(8195, 2), 16221, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4169, 5463, F4, 3, 32) (dual of [(5463, 3), 16220, 33]-NRT-code) | [i] | ||