Information on Result #1183364
Digital (164, 174, 5187692)-net over F3, using net defined by OOA based on linear OOA(3174, 5187692, F3, 15, 10) (dual of [(5187692, 15), 77815206, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(3174, 5187693, F3, 5, 10) (dual of [(5187693, 5), 25938291, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(344, 2391492, F3, 5, 5) (dual of [(2391492, 5), 11957416, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(344, 4782985, F3, 5) (dual of [4782985, 4782941, 6]-code), using
- construction X4 applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(329, 4782969, F3, 4) (dual of [4782969, 4782940, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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 Ce(4) ⊂ Ce(3) [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(344, 4782985, F3, 5) (dual of [4782985, 4782941, 6]-code), using
- linear OOA(3130, 2796201, F3, 5, 10) (dual of [(2796201, 5), 13980875, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3130, 5592402, F3, 3, 10) (dual of [(5592402, 3), 16777076, 11]-NRT-code), using
- trace code [i] based on linear OOA(965, 2796201, F9, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- trace code [i] based on linear OOA(965, 2796201, F9, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3130, 5592402, F3, 3, 10) (dual of [(5592402, 3), 16777076, 11]-NRT-code), using
- linear OOA(344, 2391492, F3, 5, 5) (dual of [(2391492, 5), 11957416, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
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.