Information on Result #679580
Linear OA(4169, 4102, F4, 38) (dual of [4102, 3933, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) based on
- linear OA(4169, 4096, F4, 38) (dual of [4096, 3927, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(4170, 4103, F4, 38) (dual of [4103, 3933, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4175, 4124, F4, 38) (dual of [4124, 3949, 39]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4176, 4138, F4, 38) (dual of [4138, 3962, 39]-code) | [i] | ||
| 4 | Linear OA(4177, 4159, F4, 38) (dual of [4159, 3982, 39]-code) | [i] | ||
| 5 | Linear OA(4178, 4192, F4, 38) (dual of [4192, 4014, 39]-code) | [i] | ||
| 6 | Linear OA(4179, 4241, F4, 38) (dual of [4241, 4062, 39]-code) | [i] | ||
| 7 | Linear OA(4180, 4311, F4, 38) (dual of [4311, 4131, 39]-code) | [i] | ||
| 8 | Linear OA(4181, 4408, F4, 38) (dual of [4408, 4227, 39]-code) | [i] | ||
| 9 | Linear OA(4182, 4531, F4, 38) (dual of [4531, 4349, 39]-code) | [i] | ||
| 10 | Linear OA(4183, 4678, F4, 38) (dual of [4678, 4495, 39]-code) | [i] | ||
| 11 | Linear OA(4184, 4844, F4, 38) (dual of [4844, 4660, 39]-code) | [i] | ||
| 12 | Linear OA(4185, 5023, F4, 38) (dual of [5023, 4838, 39]-code) | [i] | ||
| 13 | Linear OOA(4169, 2051, F4, 2, 38) (dual of [(2051, 2), 3933, 39]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(4169, 1367, F4, 3, 38) (dual of [(1367, 3), 3932, 39]-NRT-code) | [i] | ||