Information on Result #679096
Linear OA(474, 16401, F4, 14) (dual of [16401, 16327, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(43, 17, F4, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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(474, 8200, F4, 2, 14) (dual of [(8200, 2), 16326, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(474, 5467, F4, 3, 14) (dual of [(5467, 3), 16327, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(474, 2343, F4, 14, 14) (dual of [(2343, 14), 32728, 15]-NRT-code) | [i] | OA Folding and Stacking | |