Information on Result #1732089
Linear OOA(9128, 1195753, F9, 27, 20) (dual of [(1195753, 27), 32285203, 21]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(9128, 4783013, F9, 3, 20) (dual of [(4783013, 3), 14348911, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9128, 4783013, F9, 20) (dual of [4783013, 4782885, 21]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9127, 4783011, F9, 20) (dual of [4783011, 4782884, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(19) ⊂ Ce(13) [i] based on
- linear OA(9127, 4783012, F9, 19) (dual of [4783012, 4782885, 20]-code), using Gilbert–Varšamov bound and bm = 9127 > Vbs−1(k−1) = 4 829363 457138 412767 875779 374620 638873 406380 280150 402133 937943 475917 632277 984210 721381 094416 030461 837954 750744 491661 902809 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 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(9127, 4783011, F9, 20) (dual of [4783011, 4782884, 21]-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 (108, 128, 1195753)-net over F9 | [i] | Net Defined by OOA | |