Information on Result #679589
Linear OA(4128, 4103, F4, 29) (dual of [4103, 3975, 30]-code), using construction X applied to Ce(28) ⊂ Ce(26) 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(4121, 4096, F4, 27) (dual of [4096, 3975, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(4127, 4102, F4, 28) (dual of [4102, 3975, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(4128, 2452, F4, 2, 29) (dual of [(2452, 2), 4776, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4128, 2452, F4, 3, 29) (dual of [(2452, 3), 7228, 30]-NRT-code) | [i] | ||
| 4 | Digital (99, 128, 2452)-net over F4 | [i] | ||
| 5 | Linear OOA(4128, 2051, F4, 2, 29) (dual of [(2051, 2), 3974, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4128, 1367, F4, 3, 29) (dual of [(1367, 3), 3973, 30]-NRT-code) | [i] | ||