Information on Result #1840961
(57, 73, 262152)-net in base 32, using net defined by OOA based on OOA(3273, 262152, S32, 18, 16), using
- OOA 4-folding and stacking with additional row [i] based on OOA(3273, 1048609, S32, 2, 16), using
- discarding factors based on OOA(3273, 1048610, S32, 2, 16), using
- (u, u+v)-construction [i] based on
- linear OOA(328, 33, F32, 2, 8) (dual of [(33, 2), 58, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;58,32) [i]
- OOA(3265, 1048577, S32, 2, 16), using
- OOA 2-folding [i] based on OA(3265, 2097154, S32, 16), using
- discarding factors based on OA(3265, 2097155, S32, 16), using
- discarding parts of the base [i] based on linear OA(12846, 2097155, F128, 16) (dual of [2097155, 2097109, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- discarding parts of the base [i] based on linear OA(12846, 2097155, F128, 16) (dual of [2097155, 2097109, 17]-code), using
- discarding factors based on OA(3265, 2097155, S32, 16), using
- OOA 2-folding [i] based on OA(3265, 2097154, S32, 16), using
- linear OOA(328, 33, F32, 2, 8) (dual of [(33, 2), 58, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors based on OOA(3273, 1048610, S32, 2, 16), 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.