Information on Result #1727781
Linear OOA(893, 87394, F8, 21, 17) (dual of [(87394, 21), 1835181, 18]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(893, 262183, F8, 3, 17) (dual of [(262183, 3), 786456, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(893, 262183, F8, 17) (dual of [262183, 262090, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(892, 262181, F8, 17) (dual of [262181, 262089, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(16) ⊂ Ce(10) [i] based on
- linear OA(892, 262182, F8, 16) (dual of [262182, 262090, 17]-code), using Gilbert–Varšamov bound and bm = 892 > Vbs−1(k−1) = 6899 519405 731815 121810 002424 852896 981810 474807 813467 758023 478124 438746 387049 333984 [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(892, 262181, F8, 17) (dual of [262181, 262089, 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 (76, 93, 87394)-net over F8 | [i] | Net Defined by OOA | |