Information on Result #706884
Linear OA(4141, 291, F4, 46) (dual of [291, 150, 47]-code), using construction XX applied to C1 = C([41,85]), C2 = C([48,86]), C3 = C1 + C2 = C([48,85]), and C∩ = C1 ∩ C2 = C([41,86]) based on
- 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 = {41,42,…,85}, and designed minimum distance d ≥ |I|+1 = 46 [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 = {48,49,…,86}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- 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 = {41,42,…,86}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4105, 255, F4, 38) (dual of [255, 150, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,85}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(412, 32, F4, 6) (dual of [32, 20, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-code), using
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- extended Reed–Solomon code RSe(11,16) [i]
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-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.