Information on Result #1060197
Linear OOA(3151, 2097150, F3, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code), using OOA 4-folding based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
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(3151, 2097150, F3, 4, 15) (dual of [(2097150, 4), 8388449, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3152, 2097150, F3, 4, 16) (dual of [(2097150, 4), 8388448, 17]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3159, 2097154, F3, 4, 16) (dual of [(2097154, 4), 8388457, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3160, 2097157, F3, 4, 16) (dual of [(2097157, 4), 8388468, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(3161, 2097158, F3, 4, 16) (dual of [(2097158, 4), 8388471, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(3162, 2097161, F3, 4, 16) (dual of [(2097161, 4), 8388482, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(3163, 2097164, F3, 4, 16) (dual of [(2097164, 4), 8388493, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(3164, 2097167, F3, 4, 16) (dual of [(2097167, 4), 8388504, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(3165, 2097172, F3, 4, 16) (dual of [(2097172, 4), 8388523, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(3169, 2097182, F3, 4, 16) (dual of [(2097182, 4), 8388559, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(3171, 2097190, F3, 4, 16) (dual of [(2097190, 4), 8388589, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(3172, 2097194, F3, 4, 16) (dual of [(2097194, 4), 8388604, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(3173, 2097206, F3, 4, 16) (dual of [(2097206, 4), 8388651, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(3175, 2097234, F3, 4, 16) (dual of [(2097234, 4), 8388761, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(3178, 2097264, F3, 4, 16) (dual of [(2097264, 4), 8388878, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(3181, 2097314, F3, 4, 16) (dual of [(2097314, 4), 8389075, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(3183, 2097478, F3, 4, 16) (dual of [(2097478, 4), 8389729, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(3191, 2097702, F3, 4, 16) (dual of [(2097702, 4), 8390617, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(3232, 4194304, F3, 4, 16) (dual of [(4194304, 4), 16776984, 17]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 20 | Linear OOA(3233, 4194307, F3, 4, 16) (dual of [(4194307, 4), 16776995, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(3234, 4194311, F3, 4, 16) (dual of [(4194311, 4), 16777010, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(3235, 4194318, F3, 4, 16) (dual of [(4194318, 4), 16777037, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(3236, 4194328, F3, 4, 16) (dual of [(4194328, 4), 16777076, 17]-NRT-code) | [i] | ||
| 24 | Linear OOA(3237, 4194338, F3, 4, 16) (dual of [(4194338, 4), 16777115, 17]-NRT-code) | [i] | ||
| 25 | Linear OOA(3238, 4194377, F3, 4, 16) (dual of [(4194377, 4), 16777270, 17]-NRT-code) | [i] | ||
| 26 | Linear OOA(3239, 4194395, F3, 4, 16) (dual of [(4194395, 4), 16777341, 17]-NRT-code) | [i] | ||
| 27 | Linear OOA(3240, 4194403, F3, 4, 16) (dual of [(4194403, 4), 16777372, 17]-NRT-code) | [i] | ||
| 28 | Linear OOA(3242, 4194417, F3, 4, 16) (dual of [(4194417, 4), 16777426, 17]-NRT-code) | [i] | ||
| 29 | Linear OOA(3243, 4194456, F3, 4, 16) (dual of [(4194456, 4), 16777581, 17]-NRT-code) | [i] | ||
| 30 | Linear OOA(3243, 4194457, F3, 4, 16) (dual of [(4194457, 4), 16777585, 17]-NRT-code) | [i] | ||
| 31 | Linear OOA(3151, 2097150, F3, 5, 16) (dual of [(2097150, 5), 10485599, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 32 | Digital (135, 151, 2097150)-net over F3 | [i] | ||