Information on Result #1732407
Linear OOA(991, 3281, F9, 27, 23) (dual of [(3281, 27), 88496, 24]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(991, 13125, F9, 3, 23) (dual of [(13125, 3), 39284, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(991, 13128, F9, 3, 23) (dual of [(13128, 3), 39293, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(991, 13128, F9, 23) (dual of [13128, 13037, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(990, 13126, F9, 23) (dual of [13126, 13036, 24]-code), using
- trace code [i] based on linear OA(8145, 6563, F81, 23) (dual of [6563, 6518, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- trace code [i] based on linear OA(8145, 6563, F81, 23) (dual of [6563, 6518, 24]-code), using
- linear OA(990, 13127, F9, 22) (dual of [13127, 13037, 23]-code), using Gilbert–Varšamov bound and bm = 990 > Vbs−1(k−1) = 53 760265 383738 880703 453319 634977 641570 793027 193002 889850 721825 071985 344326 078770 753009 [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(990, 13126, F9, 23) (dual of [13126, 13036, 24]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(991, 13128, F9, 23) (dual of [13128, 13037, 24]-code), using
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 (68, 91, 3281)-net over F9 | [i] | Net Defined by OOA | |