Information on Result #1621977
Linear OOA(3158, 686, F3, 5, 34) (dual of [(686, 5), 3272, 35]-NRT-code), using OOA 2-folding based on linear OOA(3158, 1372, F3, 3, 34) (dual of [(1372, 3), 3958, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 1373, F3, 3, 34) (dual of [(1373, 3), 3961, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3158, 1373, F3, 34) (dual of [1373, 1215, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3158, 2200, F3, 34) (dual of [2200, 2042, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3158, 2200, F3, 34) (dual of [2200, 2042, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3158, 1373, F3, 34) (dual of [1373, 1215, 35]-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
None.