Information on Result #706769
Linear OA(4134, 294, F4, 43) (dual of [294, 160, 44]-code), using construction XX applied to C1 = C([45,85]), C2 = C([52,87]), C3 = C1 + C2 = C([52,85]), and C∩ = C1 ∩ C2 = C([45,87]) based on
- linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {45,46,…,85}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4103, 255, F4, 36) (dual of [255, 152, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,87}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- 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 = {45,46,…,87}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,85}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(412, 30, F4, 6) (dual of [30, 18, 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(41, 9, F4, 1) (dual of [9, 8, 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.