Information on Result #677964
Linear OA(448, 4194325, F4, 6) (dual of [4194325, 4194277, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(423, 4194304, F4, 3) (dual of [4194304, 4194281, 4]-code or 4194304-cap in PG(22,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [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(448, 4194325, F4, 2, 6) (dual of [(4194325, 2), 8388602, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(448, 4194325, F4, 3, 6) (dual of [(4194325, 3), 12582927, 7]-NRT-code) | [i] | ||
| 3 | Digital (42, 48, 4194325)-net over F4 | [i] | ||
| 4 | Linear OOA(448, 2097162, F4, 2, 6) (dual of [(2097162, 2), 4194276, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(448, 1398108, F4, 3, 6) (dual of [(1398108, 3), 4194276, 7]-NRT-code) | [i] | ||