Information on Result #1840875
(45, 58, 349536)-net in base 32, using net defined by OOA based on OOA(3258, 349536, S32, 14, 13), using
- OOA 3-folding and stacking with additional row [i] based on OOA(3258, 1048609, S32, 2, 13), using
- discarding factors based on OOA(3258, 1048610, S32, 2, 13), using
- (u, u+v)-construction [i] based on
- linear OOA(326, 33, F32, 2, 6) (dual of [(33, 2), 60, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;60,32) [i]
- OOA(3252, 1048577, S32, 2, 13), using
- OOA 2-folding [i] based on OA(3252, 2097154, S32, 13), using
- discarding factors based on OA(3252, 2097155, S32, 13), using
- discarding parts of the base [i] based on linear OA(12837, 2097155, F128, 13) (dual of [2097155, 2097118, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding parts of the base [i] based on linear OA(12837, 2097155, F128, 13) (dual of [2097155, 2097118, 14]-code), using
- discarding factors based on OA(3252, 2097155, S32, 13), using
- OOA 2-folding [i] based on OA(3252, 2097154, S32, 13), using
- linear OOA(326, 33, F32, 2, 6) (dual of [(33, 2), 60, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors based on OOA(3258, 1048610, S32, 2, 13), using
Mode: Constructive.
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.