Information on Result #1729141
Linear OOA(8166, 419441, F8, 33, 26) (dual of [(419441, 33), 13841387, 27]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8166, 2097206, F8, 3, 26) (dual of [(2097206, 3), 6291452, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 2097206, F8, 26) (dual of [2097206, 2097040, 27]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8165, 2097204, F8, 26) (dual of [2097204, 2097039, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(810, 52, F8, 6) (dual of [52, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(8165, 2097205, F8, 25) (dual of [2097205, 2097040, 26]-code), using Gilbert–Varšamov bound and bm = 8165 > Vbs−1(k−1) = 16179 574724 533434 078041 018139 425764 703531 655173 902861 725031 075373 437241 709077 291650 132424 643194 085261 385776 415931 973821 053253 609307 642060 234687 007276 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8165, 2097204, F8, 26) (dual of [2097204, 2097039, 27]-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 (140, 166, 419441)-net over F8 | [i] | Net Defined by OOA | |