Information on Result #3279713
(19, 32, 683)-net in base 32, using 321 times duplication based on (18, 31, 683)-net in base 32, using
- net defined by OOA [i] based on OOA(3231, 683, S32, 13, 13), using
- OOA 6-folding and stacking with additional row [i] based on OA(3231, 4099, S32, 13), using
- 1 times code embedding in larger space [i] based on OA(3230, 4098, S32, 13), using
- discarding parts of the base [i] based on linear OA(6425, 4098, F64, 13) (dual of [4098, 4073, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 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(6425, 4098, F64, 13) (dual of [4098, 4073, 14]-code), using
- 1 times code embedding in larger space [i] based on OA(3230, 4098, S32, 13), using
- OOA 6-folding and stacking with additional row [i] based on OA(3231, 4099, S32, 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.