Information on Result #1193482
Digital (89, 100, 2799850)-net over F9, using net defined by OOA based on linear OOA(9100, 2799850, F9, 15, 11) (dual of [(2799850, 15), 41997650, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(9100, 5599701, F9, 3, 11) (dual of [(5599701, 3), 16799003, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9100, 5599702, F9, 3, 11) (dual of [(5599702, 3), 16799006, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(918, 7300, F9, 3, 5) (dual of [(7300, 3), 21882, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(918, 7301, F9, 2, 5) (dual of [(7301, 2), 14584, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(94, 820, F9, 2, 2) (dual of [(820, 2), 1636, 3]-NRT-code), using
- appending kth column [i] based on linear OA(94, 820, F9, 2) (dual of [820, 816, 3]-code), using
- Hamming code H(4,9) [i]
- appending kth column [i] based on linear OA(94, 820, F9, 2) (dual of [820, 816, 3]-code), using
- linear OOA(914, 6481, F9, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- linear OOA(94, 820, F9, 2, 2) (dual of [(820, 2), 1636, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(918, 7301, F9, 2, 5) (dual of [(7301, 2), 14584, 6]-NRT-code), using
- linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- linear OOA(918, 7300, F9, 3, 5) (dual of [(7300, 3), 21882, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9100, 5599702, F9, 3, 11) (dual of [(5599702, 3), 16799006, 12]-NRT-code), using
Mode: Constructive and 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.