Information on Result #678200
Linear OA(4146, 1048611, F4, 19) (dual of [1048611, 1048465, 20]-code), using construction X applied to Ce(18) ⊂ Ce(14) based on
- linear OA(4141, 1048576, F4, 19) (dual of [1048576, 1048435, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(4147, 1048612, F4, 19) (dual of [1048612, 1048465, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4146, 524305, F4, 2, 19) (dual of [(524305, 2), 1048464, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4146, 349537, F4, 3, 19) (dual of [(349537, 3), 1048465, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(4146, 116512, F4, 19, 19) (dual of [(116512, 19), 2213582, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |