Information on Result #1716574
Digital (191, 224, 5102)-net over F3, using net defined by OOA based on linear OOA(3224, 5102, F3, 36, 33) (dual of [(5102, 36), 183448, 34]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3224, 20409, F3, 4, 33) (dual of [(20409, 4), 81412, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3224, 20410, F3, 4, 33) (dual of [(20410, 4), 81416, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3224, 20410, F3, 2, 33) (dual of [(20410, 2), 40596, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3224, 29536, F3, 2, 33) (dual of [(29536, 2), 58848, 34]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3223, 29536, F3, 2, 33) (dual of [(29536, 2), 58849, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3223, 59072, F3, 33) (dual of [59072, 58849, 34]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3222, 59071, F3, 33) (dual of [59071, 58849, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- linear OA(3221, 59050, F3, 33) (dual of [59050, 58829, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3201, 59050, F3, 31) (dual of [59050, 58849, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(31, 21, F3, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3222, 59071, F3, 33) (dual of [59071, 58849, 34]-code), using
- OOA 2-folding [i] based on linear OA(3223, 59072, F3, 33) (dual of [59072, 58849, 34]-code), using
- 31 times duplication [i] based on linear OOA(3223, 29536, F3, 2, 33) (dual of [(29536, 2), 58849, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3224, 29536, F3, 2, 33) (dual of [(29536, 2), 58848, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3224, 20410, F3, 2, 33) (dual of [(20410, 2), 40596, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3224, 20410, F3, 4, 33) (dual of [(20410, 4), 81416, 34]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.