Information on Result #678327
Linear OA(4230, 262209, F4, 32) (dual of [262209, 261979, 33]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
- linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(413, 64, F4, 6) (dual of [64, 51, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
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(4230, 158244, F4, 2, 32) (dual of [(158244, 2), 316258, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4230, 158244, F4, 3, 32) (dual of [(158244, 3), 474502, 33]-NRT-code) | [i] | ||
| 3 | Digital (198, 230, 158244)-net over F4 | [i] | ||
| 4 | Linear OOA(4230, 16388, F4, 32, 32) (dual of [(16388, 32), 524186, 33]-NRT-code) | [i] | OA Folding and Stacking | |