Information on Result #704065
Linear OA(3181, 772, F3, 42) (dual of [772, 591, 43]-code), using construction X applied to C([1,42]) ⊂ C([1,34]) based on
- linear OA(3165, 728, F3, 42) (dual of [728, 563, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3135, 728, F3, 34) (dual of [728, 593, 35]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(316, 44, F3, 7) (dual of [44, 28, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(313, 41, F3, 5) (dual of [41, 28, 6]-code), using an extension Ce(4) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [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.