Information on Result #677931
Linear OA(4200, 4194327, F4, 24) (dual of [4194327, 4194127, 25]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(41, 23, F4, 1) (dual of [23, 22, 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(4201, 4194328, F4, 24) (dual of [4194328, 4194127, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4200, 2097163, F4, 2, 24) (dual of [(2097163, 2), 4194126, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4200, 1398109, F4, 3, 24) (dual of [(1398109, 3), 4194127, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(4200, 349527, F4, 24, 24) (dual of [(349527, 24), 8388448, 25]-NRT-code) | [i] | OA Folding and Stacking | |