Information on Result #678223
Linear OA(4179, 1048624, F4, 23) (dual of [1048624, 1048445, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(48, 48, F4, 4) (dual of [48, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-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 OA(4180, 1048625, F4, 23) (dual of [1048625, 1048445, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4179, 524312, F4, 2, 23) (dual of [(524312, 2), 1048445, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4179, 349541, F4, 3, 23) (dual of [(349541, 3), 1048444, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(4179, 95329, F4, 23, 23) (dual of [(95329, 23), 2192388, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |