Information on Result #678672
Linear OA(490, 65553, F4, 15) (dual of [65553, 65463, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) 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(490, 21851, F4, 3, 15) (dual of [(21851, 3), 65463, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(490, 9364, F4, 15, 15) (dual of [(9364, 15), 140370, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |