Information on Result #679594
Linear OA(4110, 4103, F4, 25) (dual of [4103, 3993, 26]-code), using construction X applied to Ce(24) ⊂ Ce(22) based on
- linear OA(4109, 4096, F4, 25) (dual of [4096, 3987, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(4109, 4102, F4, 24) (dual of [4102, 3993, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(4110, 2224, F4, 2, 25) (dual of [(2224, 2), 4338, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4110, 2224, F4, 3, 25) (dual of [(2224, 3), 6562, 26]-NRT-code) | [i] | ||
| 4 | Digital (85, 110, 2224)-net over F4 | [i] | ||
| 5 | Linear OOA(4110, 2051, F4, 2, 25) (dual of [(2051, 2), 3992, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4110, 1367, F4, 3, 25) (dual of [(1367, 3), 3991, 26]-NRT-code) | [i] | ||