Information on Result #1522713
Linear OOA(3120, 1366, F3, 3, 25) (dual of [(1366, 3), 3978, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3120, 1366, F3, 25) (dual of [1366, 1246, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, 2214, F3, 25) (dual of [2214, 2094, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(24) ⊂ Ce(19) [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(3120, 683, F3, 5, 25) (dual of [(683, 5), 3295, 26]-NRT-code) | [i] | OOA Folding | |