Information on Result #1434206
Linear OOA(4246, 59533, F4, 2, 38) (dual of [(59533, 2), 118820, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4246, 59533, F4, 38) (dual of [59533, 59287, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4246, 65613, F4, 38) (dual of [65613, 65367, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(421, 77, F4, 8) (dual of [77, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
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(4246, 29766, F4, 3, 38) (dual of [(29766, 3), 89052, 39]-NRT-code) | [i] | OOA Folding | |