Information on Result #676948
Linear OA(3217, 745, F3, 54) (dual of [745, 528, 55]-code), using construction XX applied to Ce(55) ⊂ Ce(51) ⊂ Ce(49) based on
- linear OA(3214, 729, F3, 56) (dual of [729, 515, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3202, 729, F3, 52) (dual of [729, 527, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3196, 729, F3, 50) (dual of [729, 533, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 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
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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.