Information on Result #1064309
Linear OOA(3233, 186, F3, 4, 61) (dual of [(186, 4), 511, 62]-NRT-code), using OOA 4-folding based on linear OA(3233, 744, F3, 61) (dual of [744, 511, 62]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, 745, F3, 61) (dual of [745, 512, 62]-code), using
- construction X applied to Ce(60) ⊂ Ce(57) [i] based on
- linear OA(3229, 729, F3, 61) (dual of [729, 500, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(3217, 729, F3, 58) (dual of [729, 512, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(34, 16, F3, 2) (dual of [16, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(60) ⊂ Ce(57) [i] based on
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
None.