Information on Result #677908
Linear OA(4101, 4194316, F4, 13) (dual of [4194316, 4194215, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(489, 4194304, F4, 11) (dual of [4194304, 4194215, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 12, F4, 1) (dual of [12, 11, 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(4102, 4194317, F4, 13) (dual of [4194317, 4194215, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4101, 2097158, F4, 2, 13) (dual of [(2097158, 2), 4194215, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4101, 1398105, F4, 3, 13) (dual of [(1398105, 3), 4194214, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(4101, 699052, F4, 13, 13) (dual of [(699052, 13), 9087575, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |