Information on Result #1059677
Linear OOA(3128, 2391488, F3, 4, 11) (dual of [(2391488, 4), 9565824, 12]-NRT-code), using OOA 2-folding based on linear OOA(3128, 4782976, F3, 2, 11) (dual of [(4782976, 2), 9565824, 12]-NRT-code), using
- trace code [i] based on linear OOA(964, 2391488, F9, 2, 11) (dual of [(2391488, 2), 4782912, 12]-NRT-code), using
- OOA 2-folding [i] 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
- OOA 2-folding [i] 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(3132, 2391489, F3, 4, 11) (dual of [(2391489, 4), 9565824, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3129, 2391488, F3, 4, 11) (dual of [(2391488, 4), 9565823, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3130, 2391488, F3, 4, 11) (dual of [(2391488, 4), 9565822, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3131, 2391488, F3, 4, 11) (dual of [(2391488, 4), 9565821, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(3133, 2391492, F3, 4, 11) (dual of [(2391492, 4), 9565835, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3134, 2391495, F3, 4, 11) (dual of [(2391495, 4), 9565846, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(3135, 2391499, F3, 4, 11) (dual of [(2391499, 4), 9565861, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(3136, 2391506, F3, 4, 11) (dual of [(2391506, 4), 9565888, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(3137, 2391516, F3, 4, 11) (dual of [(2391516, 4), 9565927, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(3138, 2391526, F3, 4, 11) (dual of [(2391526, 4), 9565966, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(3139, 2391565, F3, 4, 11) (dual of [(2391565, 4), 9566121, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(3140, 2391583, F3, 4, 11) (dual of [(2391583, 4), 9566192, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(3141, 2391591, F3, 4, 11) (dual of [(2391591, 4), 9566223, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(3143, 2391605, F3, 4, 11) (dual of [(2391605, 4), 9566277, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(3144, 2391644, F3, 4, 11) (dual of [(2391644, 4), 9566432, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(3145, 2391718, F3, 4, 11) (dual of [(2391718, 4), 9566727, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(3144, 2391645, F3, 4, 11) (dual of [(2391645, 4), 9566436, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(3145, 2391719, F3, 4, 11) (dual of [(2391719, 4), 9566731, 12]-NRT-code) | [i] | ||