Information on Result #679567
Linear OA(4229, 4102, F4, 51) (dual of [4102, 3873, 52]-code), using construction X applied to Ce(50) ⊂ Ce(49) based on
- linear OA(4229, 4096, F4, 51) (dual of [4096, 3867, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4223, 4096, F4, 50) (dual of [4096, 3873, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4231, 4114, F4, 51) (dual of [4114, 3883, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(4232, 4142, F4, 51) (dual of [4142, 3910, 52]-code) | [i] | ||
| 3 | Linear OA(4233, 4205, F4, 51) (dual of [4205, 3972, 52]-code) | [i] | ||
| 4 | Linear OA(4234, 4301, F4, 51) (dual of [4301, 4067, 52]-code) | [i] | ||
| 5 | Linear OA(4235, 4415, F4, 51) (dual of [4415, 4180, 52]-code) | [i] | ||
| 6 | Linear OOA(4229, 2051, F4, 2, 51) (dual of [(2051, 2), 3873, 52]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4229, 1367, F4, 3, 51) (dual of [(1367, 3), 3872, 52]-NRT-code) | [i] | ||