Information on Result #1731965
Linear OOA(9122, 1594338, F9, 21, 19) (dual of [(1594338, 21), 33480976, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(9122, 4783015, F9, 3, 19) (dual of [(4783015, 3), 14348923, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9122, 4783015, F9, 19) (dual of [4783015, 4782893, 20]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(97, 42, F9, 5) (dual of [42, 35, 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(18) ⊂ Ce(12) [i] based on
- linear OA(9120, 4783013, F9, 18) (dual of [4783013, 4782893, 19]-code), using Gilbert–Varšamov bound and bm = 9120 > Vbs−1(k−1) = 2 271820 979786 716051 824536 673470 408417 084553 375315 031398 533400 827447 232085 368185 227728 375755 193646 017289 000316 101281 [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(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using
- construction X with Varšamov bound [i] based on
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 (103, 122, 1594338)-net over F9 | [i] | Net Defined by OOA | |