Information on Result #706887
Linear OA(4136, 286, F4, 45) (dual of [286, 150, 46]-code), using construction XX applied to C1 = C([51,93]), C2 = C([49,87]), C3 = C1 + C2 = C([51,87]), and C∩ = C1 ∩ C2 = C([49,93]) based on
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,93}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,87}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,93}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4105, 255, F4, 37) (dual of [255, 150, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,87}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(410, 26, F4, 5) (dual of [26, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.