Information on Result #680472
Linear OA(4107, 1030, F4, 29) (dual of [1030, 923, 30]-code), using construction X applied to Ce(28) ⊂ Ce(26) based on
- linear OA(4106, 1024, F4, 29) (dual of [1024, 918, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4101, 1024, F4, 27) (dual of [1024, 923, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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 OOA(4107, 821, F4, 2, 29) (dual of [(821, 2), 1535, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4107, 821, F4, 3, 29) (dual of [(821, 3), 2356, 30]-NRT-code) | [i] | ||
| 3 | Digital (78, 107, 821)-net over F4 | [i] | ||
| 4 | Linear OA(4112, 1053, F4, 29) (dual of [1053, 941, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OOA(4107, 515, F4, 2, 29) (dual of [(515, 2), 923, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4107, 343, F4, 3, 29) (dual of [(343, 3), 922, 30]-NRT-code) | [i] | ||