Information on Result #1729095
Linear OOA(8142, 52436, F8, 33, 26) (dual of [(52436, 33), 1730246, 27]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(8142, 262181, F8, 3, 26) (dual of [(262181, 3), 786401, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8142, 262184, F8, 3, 26) (dual of [(262184, 3), 786410, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8142, 262184, F8, 26) (dual of [262184, 262042, 27]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8140, 262182, F8, 24) (dual of [262182, 262042, 25]-code), using Gilbert–Varšamov bound and bm = 8140 > Vbs−1(k−1) = 44 892603 789316 089569 088653 481570 084917 649643 136163 701904 756468 834255 430563 880674 177276 023366 324579 938010 837769 807032 269664 [i]
- linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8142, 262184, F8, 26) (dual of [262184, 262042, 27]-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 (116, 142, 52436)-net over F8 | [i] | Net Defined by OOA | |