Information on Result #1726031
Linear OOA(7102, 39226, F7, 21, 19) (dual of [(39226, 21), 823644, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(7102, 117679, F7, 3, 19) (dual of [(117679, 3), 352935, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7102, 117680, F7, 3, 19) (dual of [(117680, 3), 352938, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7102, 117680, F7, 19) (dual of [117680, 117578, 20]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7101, 117678, F7, 19) (dual of [117678, 117577, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(797, 117650, F7, 19) (dual of [117650, 117553, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(773, 117650, F7, 15) (dual of [117650, 117577, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(7101, 117679, F7, 18) (dual of [117679, 117578, 19]-code), using Gilbert–Varšamov bound and bm = 7101 > Vbs−1(k−1) = 7 565384 437219 426067 480276 568730 446189 335893 697625 338825 703901 140302 017593 890704 321873 [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(7101, 117678, F7, 19) (dual of [117678, 117577, 20]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7102, 117680, F7, 19) (dual of [117680, 117578, 20]-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 (83, 102, 39226)-net over F7 | [i] | Net Defined by OOA | |