Information on Result #2690806
Linear OOA(4235, 1373, F4, 3, 51) (dual of [(1373, 3), 3884, 52]-NRT-code), using 41 times duplication based on linear OOA(4234, 1373, F4, 3, 51) (dual of [(1373, 3), 3885, 52]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4234, 4119, F4, 51) (dual of [4119, 3885, 52]-code), using
- construction X applied to Ce(50) ⊂ Ce(46) [i] based on
- linear OA(4229, 4096, F4, 51) (dual of [4096, 3867, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(50) ⊂ Ce(46) [i] based on
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.