Information on Result #681522
Linear OA(438, 265, F4, 12) (dual of [265, 227, 13]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(437, 256, F4, 13) (dual of [256, 219, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(429, 256, F4, 10) (dual of [256, 227, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(438, 248, F4, 2, 12) (dual of [(248, 2), 458, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(438, 248, F4, 3, 12) (dual of [(248, 3), 706, 13]-NRT-code) | [i] | ||
| 3 | Digital (26, 38, 248)-net over F4 | [i] | ||