Information on Result #1843365
(90, 106, 1572864)-net in base 32, using (u, u+v)-construction based on
- (24, 32, 524289)-net in base 32, using
- net defined by OOA [i] based on OOA(3232, 524289, S32, 8, 8), using
- OA 4-folding and stacking [i] based on OA(3232, 2097156, S32, 8), using
- 1 times code embedding in larger space [i] based on OA(3231, 2097155, S32, 8), using
- discarding parts of the base [i] based on linear OA(12822, 2097155, F128, 8) (dual of [2097155, 2097133, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(12819, 2097152, F128, 7) (dual of [2097152, 2097133, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- discarding parts of the base [i] based on linear OA(12822, 2097155, F128, 8) (dual of [2097155, 2097133, 9]-code), using
- 1 times code embedding in larger space [i] based on OA(3231, 2097155, S32, 8), using
- OA 4-folding and stacking [i] based on OA(3232, 2097156, S32, 8), using
- net defined by OOA [i] based on OOA(3232, 524289, S32, 8, 8), using
- (58, 74, 1048575)-net in base 32, using
- net defined by OOA [i] based on OOA(3274, 1048575, S32, 16, 16), using
- OA 8-folding and stacking [i] based on OA(3274, 8388600, S32, 16), using
- discarding factors based on OA(3274, large, S32, 16), using
- discarding parts of the base [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding parts of the base [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- discarding factors based on OA(3274, large, S32, 16), using
- OA 8-folding and stacking [i] based on OA(3274, 8388600, S32, 16), using
- net defined by OOA [i] based on OOA(3274, 1048575, S32, 16, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (91, 107, 1572864)-net in base 32 | [i] | Net Duplication | |