Information on Result #706957
Linear OA(4139, 280, F4, 47) (dual of [280, 141, 48]-code), using construction XX applied to C1 = C([250,40]), C2 = C([0,41]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([250,41]) based on
- linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4133, 255, F4, 47) (dual of [255, 122, 48]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,41}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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.