Information on Result #1235188
Linear OOA(3178, 6723845, F3, 5, 10) (dual of [(6723845, 5), 33619047, 11]-NRT-code), using extracting embedded OOA based on digital (168, 178, 6723845)-net over F3, using
- (u, u+v)-construction [i] based on
- digital (25, 30, 12965)-net over F3, using
- net defined by OOA [i] based on linear OOA(330, 12965, F3, 5, 5) (dual of [(12965, 5), 64795, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(330, 12966, F3, 2, 5) (dual of [(12966, 2), 25902, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(32, 4, F3, 2, 2) (dual of [(4, 2), 6, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;6,3) [i]
- linear OOA(328, 12962, F3, 2, 5) (dual of [(12962, 2), 25896, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(328, 25924, F3, 5) (dual of [25924, 25896, 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(328, 25924, F3, 5) (dual of [25924, 25896, 6]-code), using
- linear OOA(32, 4, F3, 2, 2) (dual of [(4, 2), 6, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(330, 12966, F3, 2, 5) (dual of [(12966, 2), 25902, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(330, 12965, F3, 5, 5) (dual of [(12965, 5), 64795, 6]-NRT-code), using
- digital (138, 148, 6710880)-net over F3, using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F81, using
- net defined by OOA [i] based on linear OOA(8137, 1677720, F81, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(8137, 8388600, F81, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(8137, 8388600, F81, 10) (dual of [8388600, 8388563, 11]-code), using
- net defined by OOA [i] based on linear OOA(8137, 1677720, F81, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- trace code for nets [i] based on digital (27, 37, 1677720)-net over F81, using
- digital (25, 30, 12965)-net over F3, 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.
Other Results with Identical Parameters
None.
Depending Results
None.