Information on Result #2270646
Linear OA(466, 16401, F4, 12) (dual of [16401, 16335, 13]-code), using 1 times code embedding in larger space based on linear OA(465, 16400, F4, 12) (dual of [16400, 16335, 13]-code), using
- construction X4 applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(415, 16, F4, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,4)), using
- dual of repetition code with length 16 [i]
- linear OA(41, 16, F4, 1) (dual of [16, 15, 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(466, 12359, F4, 2, 12) (dual of [(12359, 2), 24652, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(466, 12359, F4, 3, 12) (dual of [(12359, 3), 37011, 13]-NRT-code) | [i] | ||
| 3 | Digital (54, 66, 12359)-net over F4 | [i] | ||
| 4 | Linear OOA(466, 5467, F4, 3, 12) (dual of [(5467, 3), 16335, 13]-NRT-code) | [i] | OOA Folding | |