Information on Result #1731701
Linear OOA(9111, 1594334, F9, 21, 17) (dual of [(1594334, 21), 33480903, 18]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(9111, 4783003, F9, 3, 17) (dual of [(4783003, 3), 14348898, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9111, 4783003, F9, 17) (dual of [4783003, 4782892, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(9110, 4783002, F9, 16) (dual of [4783002, 4782892, 17]-code), using Gilbert–Varšamov bound and bm = 9110 > Vbs−1(k−1) = 422034 451883 037198 745147 407448 575628 556722 525695 672473 399458 292135 467570 013889 673550 996053 166224 420809 [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(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-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 (94, 111, 1594334)-net over F9 | [i] | Net Defined by OOA | |