Information on Result #823409
Linear OOA(4113, 32788, F4, 2, 18) (dual of [(32788, 2), 65463, 19]-NRT-code), using OOA 2-folding based on linear OA(4113, 65576, F4, 18) (dual of [65576, 65463, 19]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
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(4115, 32789, F4, 2, 18) (dual of [(32789, 2), 65463, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4117, 32790, F4, 2, 18) (dual of [(32790, 2), 65463, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(4114, 32788, F4, 2, 18) (dual of [(32788, 2), 65462, 19]-NRT-code) | [i] | OOA Duplication | |