Information on Result #679605
Linear OA(456, 4103, F4, 13) (dual of [4103, 4047, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(449, 4096, F4, 11) (dual of [4096, 4047, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 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 OA(455, 4102, F4, 12) (dual of [4102, 4047, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(456, 2051, F4, 2, 13) (dual of [(2051, 2), 4046, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(456, 1367, F4, 3, 13) (dual of [(1367, 3), 4045, 14]-NRT-code) | [i] | ||