Information on Result #1731577
Linear OOA(9104, 1594334, F9, 21, 16) (dual of [(1594334, 21), 33480910, 17]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(9104, 4783003, F9, 3, 16) (dual of [(4783003, 3), 14348905, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9104, 4783003, F9, 16) (dual of [4783003, 4782899, 17]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(15) ⊂ Ce(11) [i] based on
- linear OA(9103, 4783002, F9, 15) (dual of [4783002, 4782899, 16]-code), using Gilbert–Varšamov bound and bm = 9103 > Vbs−1(k−1) = 165443 597609 647893 113599 597270 670656 805468 819771 675350 475869 186864 992491 664042 988548 512222 654409 [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(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-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 (88, 104, 1594334)-net over F9 | [i] | Net Defined by OOA | |