Information on Result #1732333
Linear OOA(9124, 132870, F9, 27, 22) (dual of [(132870, 27), 3587366, 23]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(9124, 531481, F9, 3, 22) (dual of [(531481, 3), 1594319, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9124, 531482, F9, 3, 22) (dual of [(531482, 3), 1594322, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9124, 531482, F9, 22) (dual of [531482, 531358, 23]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(9122, 531480, F9, 21) (dual of [531480, 531358, 22]-code), using Gilbert–Varšamov bound and bm = 9122 > Vbs−1(k−1) = 1 531948 234913 953165 647909 146530 136887 267969 668817 108161 989350 996730 413593 026452 338339 709062 962068 809569 842663 679481 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9124, 531482, F9, 22) (dual of [531482, 531358, 23]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (102, 124, 132870)-net over F9 | [i] | Net Defined by OOA | |