Information on Result #677953
Linear OA(4103, 4194325, F4, 13) (dual of [4194325, 4194222, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) 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(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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(4103, 2097162, F4, 2, 13) (dual of [(2097162, 2), 4194221, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4103, 1398108, F4, 3, 13) (dual of [(1398108, 3), 4194221, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(4103, 699054, F4, 13, 13) (dual of [(699054, 13), 9087599, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |