Information on Result #676656
Linear OA(3197, 754, F3, 49) (dual of [754, 557, 50]-code), using construction X applied to Ce(48) ⊂ Ce(43) based on
- linear OA(3190, 729, F3, 49) (dual of [729, 539, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3172, 729, F3, 44) (dual of [729, 557, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
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.