Information on Result #1195110
Digital (30, 43, 688)-net over F16, using net defined by OOA based on linear OOA(1643, 688, F16, 14, 13) (dual of [(688, 14), 9589, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1643, 2065, F16, 2, 13) (dual of [(2065, 2), 4087, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1643, 2066, F16, 2, 13) (dual of [(2066, 2), 4089, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(166, 17, F16, 2, 6) (dual of [(17, 2), 28, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;28,16) [i]
- linear OOA(1637, 2049, F16, 2, 13) (dual of [(2049, 2), 4061, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1637, 4098, F16, 13) (dual of [4098, 4061, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1637, 4099, F16, 13) (dual of [4099, 4062, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(1637, 4096, F16, 13) (dual of [4096, 4059, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1634, 4096, F16, 12) (dual of [4096, 4062, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(1637, 4099, F16, 13) (dual of [4099, 4062, 14]-code), using
- OOA 2-folding [i] based on linear OA(1637, 4098, F16, 13) (dual of [4098, 4061, 14]-code), using
- linear OOA(166, 17, F16, 2, 6) (dual of [(17, 2), 28, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1643, 2066, F16, 2, 13) (dual of [(2066, 2), 4089, 14]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.