Information on Result #737306
Linear OA(4136, 4129, F4, 29) (dual of [4129, 3993, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4103, 4096, F4, 23) (dual of [4096, 3993, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4138, 4131, F4, 29) (dual of [4131, 3993, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4139, 4132, F4, 29) (dual of [4132, 3993, 30]-code) | [i] | ||
| 3 | Linear OA(4138, 4132, F4, 29) (dual of [4132, 3994, 30]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(4139, 4134, F4, 29) (dual of [4134, 3995, 30]-code) | [i] | ||
| 5 | Linear OOA(4136, 2064, F4, 2, 29) (dual of [(2064, 2), 3992, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4136, 1376, F4, 3, 29) (dual of [(1376, 3), 3992, 30]-NRT-code) | [i] | ||