Information on Result #1180690
Digital (76, 90, 589)-net over F2, using net defined by OOA based on linear OOA(290, 589, F2, 14, 14) (dual of [(589, 14), 8156, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(290, 4123, F2, 14) (dual of [4123, 4033, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(290, 4125, F2, 14) (dual of [4125, 4035, 15]-code), using
- 1 times truncation [i] based on linear OA(291, 4126, F2, 15) (dual of [4126, 4035, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(261, 4096, F2, 11) (dual of [4096, 4035, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(26, 30, F2, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- 1 times truncation [i] based on linear OA(291, 4126, F2, 15) (dual of [4126, 4035, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(290, 4125, F2, 14) (dual of [4125, 4035, 15]-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.