Information on Result #1008685
Linear OOA(3128, 3188650, F3, 3, 11) (dual of [(3188650, 3), 9565822, 12]-NRT-code), using trace code based on linear OOA(964, 1594325, F9, 3, 11) (dual of [(1594325, 3), 4782911, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(964, 4782975, F9, 11) (dual of [4782975, 4782911, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3131, 3188651, F3, 3, 11) (dual of [(3188651, 3), 9565822, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3129, 3188650, F3, 3, 11) (dual of [(3188650, 3), 9565821, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3130, 3188650, F3, 3, 11) (dual of [(3188650, 3), 9565820, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3133, 3188654, F3, 3, 11) (dual of [(3188654, 3), 9565829, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3134, 3188657, F3, 3, 11) (dual of [(3188657, 3), 9565837, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(3135, 3188661, F3, 3, 11) (dual of [(3188661, 3), 9565848, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(3136, 3188668, F3, 3, 11) (dual of [(3188668, 3), 9565868, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(3137, 3188678, F3, 3, 11) (dual of [(3188678, 3), 9565897, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(3138, 3188688, F3, 3, 11) (dual of [(3188688, 3), 9565926, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(3139, 3188727, F3, 3, 11) (dual of [(3188727, 3), 9566042, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(3140, 3188745, F3, 3, 11) (dual of [(3188745, 3), 9566095, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(3141, 3188753, F3, 3, 11) (dual of [(3188753, 3), 9566118, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(3143, 3188767, F3, 3, 11) (dual of [(3188767, 3), 9566158, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(3144, 3188806, F3, 3, 11) (dual of [(3188806, 3), 9566274, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(3145, 3188880, F3, 3, 11) (dual of [(3188880, 3), 9566495, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(3144, 3188807, F3, 3, 11) (dual of [(3188807, 3), 9566277, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(3145, 3188881, F3, 3, 11) (dual of [(3188881, 3), 9566498, 12]-NRT-code) | [i] | ||