Information on Result #1546571
Linear OOA(4257, 16451, F4, 3, 46) (dual of [(16451, 3), 49096, 47]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4257, 16451, F4, 46) (dual of [16451, 16194, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(36) [i] based on
- linear OA(4239, 16384, F4, 46) (dual of [16384, 16145, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(418, 67, F4, 8) (dual of [67, 49, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 68, F4, 8) (dual of [68, 50, 9]-code), using
Mode: 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(4257, 2056, F4, 51, 46) (dual of [(2056, 51), 104599, 47]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |