Information on Result #706725
Linear OA(4123, 287, F4, 40) (dual of [287, 164, 41]-code), using construction XX applied to C1 = C([49,85]), C2 = C([55,89]), C3 = C1 + C2 = C([55,85]), and C∩ = C1 ∩ C2 = C([49,89]) based on
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,85}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4103, 255, F4, 35) (dual of [255, 152, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {55,56,…,89}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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 = {49,50,…,89}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(491, 255, F4, 31) (dual of [255, 164, 32]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {55,56,…,85}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(46, 16, F4, 4) (dual of [16, 10, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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.