Information on Result #1726001
Linear OOA(786, 5611, F7, 21, 19) (dual of [(5611, 21), 117745, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(786, 16834, F7, 3, 19) (dual of [(16834, 3), 50416, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(786, 16834, F7, 19) (dual of [16834, 16748, 20]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(785, 16832, F7, 19) (dual of [16832, 16747, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(781, 16808, F7, 19) (dual of [16808, 16727, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(785, 16833, F7, 18) (dual of [16833, 16748, 19]-code), using Gilbert–Varšamov bound and bm = 785 > Vbs−1(k−1) = 32989 294105 206223 001405 174883 080732 242307 607219 744237 045160 634340 751873 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(785, 16832, F7, 19) (dual of [16832, 16747, 20]-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 (67, 86, 5611)-net over F7 | [i] | Net Defined by OOA | |