Information on Result #1050680
Linear OOA(343, 2391491, F3, 4, 5) (dual of [(2391491, 4), 9565921, 6]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OA(343, 4782983, F3, 5) (dual of [4782983, 4782940, 6]-code), using
- construction X 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(30, 14, F3, 0) (dual of [14, 14, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(345, 2391495, F3, 4, 5) (dual of [(2391495, 4), 9565935, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(357, 4782975, F3, 4, 5) (dual of [(4782975, 4), 19131843, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(3139, 4194308, F3, 4, 10) (dual of [(4194308, 4), 16777093, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(3140, 4194314, F3, 4, 10) (dual of [(4194314, 4), 16777116, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(3141, 4194322, F3, 4, 10) (dual of [(4194322, 4), 16777147, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(3142, 4194336, F3, 4, 10) (dual of [(4194336, 4), 16777202, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(3143, 4194356, F3, 4, 10) (dual of [(4194356, 4), 16777281, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(3144, 4194376, F3, 4, 10) (dual of [(4194376, 4), 16777360, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(3145, 4194454, F3, 4, 10) (dual of [(4194454, 4), 16777671, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(3146, 4194490, F3, 4, 10) (dual of [(4194490, 4), 16777814, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(3147, 4194506, F3, 4, 10) (dual of [(4194506, 4), 16777877, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(3154, 4194308, F3, 4, 11) (dual of [(4194308, 4), 16777078, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(3155, 4194314, F3, 4, 11) (dual of [(4194314, 4), 16777101, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(3156, 4194322, F3, 4, 11) (dual of [(4194322, 4), 16777132, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(3157, 4194336, F3, 4, 11) (dual of [(4194336, 4), 16777187, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(3158, 4194356, F3, 4, 11) (dual of [(4194356, 4), 16777266, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(3159, 4194376, F3, 4, 11) (dual of [(4194376, 4), 16777345, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(3160, 4194454, F3, 4, 11) (dual of [(4194454, 4), 16777656, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(3161, 4194490, F3, 4, 11) (dual of [(4194490, 4), 16777799, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(3162, 4194506, F3, 4, 11) (dual of [(4194506, 4), 16777862, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(3154, 4194320, F3, 4, 11) (dual of [(4194320, 4), 16777126, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 22 | Linear OOA(3155, 4194356, F3, 4, 11) (dual of [(4194356, 4), 16777269, 12]-NRT-code) | [i] | ||
| 23 | Linear OOA(3156, 4194412, F3, 4, 11) (dual of [(4194412, 4), 16777492, 12]-NRT-code) | [i] | ||
| 24 | Linear OOA(3157, 4194548, F3, 4, 11) (dual of [(4194548, 4), 16778035, 12]-NRT-code) | [i] | ||
| 25 | Linear OOA(3158, 4194832, F3, 4, 11) (dual of [(4194832, 4), 16779170, 12]-NRT-code) | [i] | ||
| 26 | Linear OOA(3159, 4195516, F3, 4, 11) (dual of [(4195516, 4), 16781905, 12]-NRT-code) | [i] | ||
| 27 | Linear OOA(3160, 4197044, F3, 4, 11) (dual of [(4197044, 4), 16788016, 12]-NRT-code) | [i] | ||
| 28 | Linear OOA(3161, 4200764, F3, 4, 11) (dual of [(4200764, 4), 16802895, 12]-NRT-code) | [i] | ||
| 29 | Linear OOA(3162, 4207612, F3, 4, 11) (dual of [(4207612, 4), 16830286, 12]-NRT-code) | [i] | ||
| 30 | Linear OOA(3163, 4224764, F3, 4, 11) (dual of [(4224764, 4), 16898893, 12]-NRT-code) | [i] | ||
| 31 | Linear OOA(3140, 4194356, F3, 4, 10) (dual of [(4194356, 4), 16777284, 11]-NRT-code) | [i] | ||
| 32 | Linear OOA(3141, 4194412, F3, 4, 10) (dual of [(4194412, 4), 16777507, 11]-NRT-code) | [i] | ||
| 33 | Linear OOA(3142, 4194548, F3, 4, 10) (dual of [(4194548, 4), 16778050, 11]-NRT-code) | [i] | ||
| 34 | Linear OOA(3143, 4194832, F3, 4, 10) (dual of [(4194832, 4), 16779185, 11]-NRT-code) | [i] | ||
| 35 | Linear OOA(3144, 4195516, F3, 4, 10) (dual of [(4195516, 4), 16781920, 11]-NRT-code) | [i] | ||
| 36 | Linear OOA(3145, 4197044, F3, 4, 10) (dual of [(4197044, 4), 16788031, 11]-NRT-code) | [i] | ||
| 37 | Linear OOA(3146, 4200764, F3, 4, 10) (dual of [(4200764, 4), 16802910, 11]-NRT-code) | [i] | ||
| 38 | Linear OOA(3147, 4207612, F3, 4, 10) (dual of [(4207612, 4), 16830301, 11]-NRT-code) | [i] | ||
| 39 | Linear OOA(358, 7174459, F3, 4, 5) (dual of [(7174459, 4), 28697778, 6]-NRT-code) | [i] | ||
| 40 | Linear OOA(359, 7174473, F3, 4, 5) (dual of [(7174473, 4), 28697833, 6]-NRT-code) | [i] | ||