Information on Result #677902
Linear OA(4155, 4194315, F4, 19) (dual of [4194315, 4194160, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(4155, 4194304, F4, 19) (dual of [4194304, 4194149, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4144, 4194304, F4, 18) (dual of [4194304, 4194160, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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 OOA(4155, 2097157, F4, 2, 19) (dual of [(2097157, 2), 4194159, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4155, 1398105, F4, 3, 19) (dual of [(1398105, 3), 4194160, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(4155, 466034, F4, 19, 19) (dual of [(466034, 19), 8854491, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |