Information on Result #2244456
Linear OA(4193, 1048638, F4, 24) (dual of [1048638, 1048445, 25]-code), using 1 times truncation based on linear OA(4194, 1048639, F4, 25) (dual of [1048639, 1048445, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(4193, 542075, F4, 2, 24) (dual of [(542075, 2), 1083957, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4193, 542075, F4, 3, 24) (dual of [(542075, 3), 1626032, 25]-NRT-code) | [i] | ||
| 3 | Digital (169, 193, 542075)-net over F4 | [i] | ||
| 4 | Linear OOA(4193, 349546, F4, 3, 24) (dual of [(349546, 3), 1048445, 25]-NRT-code) | [i] | OOA Folding | |