Information on Result #679592
Linear OA(4115, 4102, F4, 26) (dual of [4102, 3987, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(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(4116, 4103, F4, 26) (dual of [4103, 3987, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4123, 4134, F4, 26) (dual of [4134, 4011, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4124, 4152, F4, 26) (dual of [4152, 4028, 27]-code) | [i] | ||
| 4 | Linear OA(4125, 4180, F4, 26) (dual of [4180, 4055, 27]-code) | [i] | ||
| 5 | Linear OA(4126, 4222, F4, 26) (dual of [4222, 4096, 27]-code) | [i] | ||
| 6 | Linear OA(4127, 4286, F4, 26) (dual of [4286, 4159, 27]-code) | [i] | ||
| 7 | Linear OA(4128, 4380, F4, 26) (dual of [4380, 4252, 27]-code) | [i] | ||
| 8 | Linear OA(4129, 4511, F4, 26) (dual of [4511, 4382, 27]-code) | [i] | ||
| 9 | Linear OA(4130, 4685, F4, 26) (dual of [4685, 4555, 27]-code) | [i] | ||
| 10 | Linear OA(4131, 4901, F4, 26) (dual of [4901, 4770, 27]-code) | [i] | ||
| 11 | Linear OA(4132, 5153, F4, 26) (dual of [5153, 5021, 27]-code) | [i] | ||
| 12 | Linear OOA(4115, 2051, F4, 2, 26) (dual of [(2051, 2), 3987, 27]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(4115, 1367, F4, 3, 26) (dual of [(1367, 3), 3986, 27]-NRT-code) | [i] | ||