Information on Result #678022
Linear OA(4209, 4194368, F4, 24) (dual of [4194368, 4194159, 25]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4144, 4194304, F4, 18) (dual of [4194304, 4194160, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(410, 64, F4, 5) (dual of [64, 54, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(4209, 2097184, F4, 2, 24) (dual of [(2097184, 2), 4194159, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4209, 1398122, F4, 3, 24) (dual of [(1398122, 3), 4194157, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(4209, 349530, F4, 24, 24) (dual of [(349530, 24), 8388511, 25]-NRT-code) | [i] | OA Folding and Stacking | |