Information on Result #1730355
Linear OOA(8167, 5466, F8, 39, 37) (dual of [(5466, 39), 213007, 38]-NRT-code), using OOA 6-folding and stacking with additional row based on linear OOA(8167, 32797, F8, 3, 37) (dual of [(32797, 3), 98224, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8167, 32797, F8, 37) (dual of [32797, 32630, 38]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8165, 32793, F8, 37) (dual of [32793, 32628, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(8161, 32769, F8, 37) (dual of [32769, 32608, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(8141, 32769, F8, 33) (dual of [32769, 32628, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(8165, 32795, F8, 36) (dual of [32795, 32630, 37]-code), using Gilbert–Varšamov bound and bm = 8165 > Vbs−1(k−1) = 4066 177743 899096 602683 464230 709518 922722 918364 629672 474993 222635 458244 035026 712435 827672 893229 011831 204599 818743 978020 956346 979582 723990 639619 788800 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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(8165, 32793, F8, 37) (dual of [32793, 32628, 38]-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 (130, 167, 5466)-net over F8 | [i] | Net Defined by OOA | |