Information on Result #664578
Linear OA(16113, 4123, F16, 31) (dual of [4123, 4010, 32]-code), using generalized (u, u+v)-construction based on
- linear OA(167, 9, F16, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OA(169, 9, F16, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,16)), using
- linear OA(169, 9, F16, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,16)) (see above)
- linear OA(1688, 4096, F16, 31) (dual of [4096, 4008, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
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.