Information on Result #893781
Linear OOA(3128, 4782976, F3, 2, 11) (dual of [(4782976, 2), 9565824, 12]-NRT-code), using trace code 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
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(3130, 4782977, F3, 2, 11) (dual of [(4782977, 2), 9565824, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3132, 4782978, F3, 2, 11) (dual of [(4782978, 2), 9565824, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3129, 4782976, F3, 2, 11) (dual of [(4782976, 2), 9565823, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3133, 4782980, F3, 2, 11) (dual of [(4782980, 2), 9565827, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3135, 4782987, F3, 2, 11) (dual of [(4782987, 2), 9565839, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(3137, 4783004, F3, 2, 11) (dual of [(4783004, 2), 9565871, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(3138, 4783014, F3, 2, 11) (dual of [(4783014, 2), 9565890, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(3139, 4783053, F3, 2, 11) (dual of [(4783053, 2), 9565967, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(3140, 4783071, F3, 2, 11) (dual of [(4783071, 2), 9566002, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(3141, 4783079, F3, 2, 11) (dual of [(4783079, 2), 9566017, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(3143, 4783093, F3, 2, 11) (dual of [(4783093, 2), 9566043, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(3144, 4783130, F3, 2, 11) (dual of [(4783130, 2), 9566116, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(3145, 4783166, F3, 2, 11) (dual of [(4783166, 2), 9566187, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(3144, 4783133, F3, 2, 11) (dual of [(4783133, 2), 9566122, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(3145, 4783207, F3, 2, 11) (dual of [(4783207, 2), 9566269, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(3128, 2391488, F3, 4, 11) (dual of [(2391488, 4), 9565824, 12]-NRT-code) | [i] | OOA Folding | |