Information on Result #1762052
Digital (88, 103, 27411)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3103, 27411, F3, 2, 15) (dual of [(27411, 2), 54719, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3103, 29536, F3, 2, 15) (dual of [(29536, 2), 58969, 16]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3102, 29536, F3, 2, 15) (dual of [(29536, 2), 58970, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3102, 59072, F3, 15) (dual of [59072, 58970, 16]-code), using
- construction X4 applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(3101, 59050, F3, 15) (dual of [59050, 58949, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(381, 59050, F3, 13) (dual of [59050, 58969, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(321, 22, F3, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,3)), using
- dual of repetition code with length 22 [i]
- linear OA(31, 22, F3, 1) (dual of [22, 21, 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 X4 applied to C([0,7]) ⊂ C([0,6]) [i] based on
- OOA 2-folding [i] based on linear OA(3102, 59072, F3, 15) (dual of [59072, 58970, 16]-code), using
- 31 times duplication [i] based on linear OOA(3102, 29536, F3, 2, 15) (dual of [(29536, 2), 58970, 16]-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.