Information on Result #961516
Linear OOA(490, 21851, F4, 3, 15) (dual of [(21851, 3), 65463, 16]-NRT-code), using OOA 3-folding based on linear OA(490, 65553, F4, 15) (dual of [65553, 65463, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 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(491, 21851, F4, 3, 15) (dual of [(21851, 3), 65462, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(498, 21860, F4, 3, 15) (dual of [(21860, 3), 65482, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |