Information on Result #1199174
Digital (62, 74, 1403563)-net over F32, using net defined by OOA based on linear OOA(3274, 1403563, F32, 14, 12) (dual of [(1403563, 14), 19649808, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3274, 4210690, F32, 2, 12) (dual of [(4210690, 2), 8421306, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3218, 16389, F32, 2, 6) (dual of [(16389, 2), 32760, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3218, 32778, F32, 6) (dual of [32778, 32760, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3218, 32779, F32, 6) (dual of [32779, 32761, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(327, 32768, F32, 3) (dual of [32768, 32761, 4]-code or 32768-cap in PG(6,32)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(5) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(3218, 32779, F32, 6) (dual of [32779, 32761, 7]-code), using
- OOA 2-folding [i] based on linear OA(3218, 32778, F32, 6) (dual of [32778, 32760, 7]-code), using
- linear OOA(3256, 4194301, F32, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(3218, 16389, F32, 2, 6) (dual of [(16389, 2), 32760, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.