Information on Result #678033
Linear OA(4132, 4194368, F4, 15) (dual of [4194368, 4194236, 16]-code), using construction X applied to Ce(14) ⊂ Ce(8) based on
- linear OA(4122, 4194304, F4, 15) (dual of [4194304, 4194182, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(4132, 2097184, F4, 2, 15) (dual of [(2097184, 2), 4194236, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4132, 1398122, F4, 3, 15) (dual of [(1398122, 3), 4194234, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(4132, 599195, F4, 15, 15) (dual of [(599195, 15), 8987793, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |