Information on Result #1308072
Linear OA(4119, 1169, F4, 30) (dual of [1169, 1050, 31]-code), using 132 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 13 times 0, 1, 23 times 0, 1, 35 times 0, 1, 44 times 0) based on linear OA(4111, 1029, F4, 30) (dual of [1029, 918, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(4111, 1024, F4, 30) (dual of [1024, 913, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(40, 5, F4, 0) (dual of [5, 5, 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: 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(4119, 1169, F4, 2, 30) (dual of [(1169, 2), 2219, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4119, 1169, F4, 3, 30) (dual of [(1169, 3), 3388, 31]-NRT-code) | [i] | ||
| 3 | Digital (89, 119, 1169)-net over F4 | [i] | ||
| 4 | Linear OOA(4119, 584, F4, 2, 30) (dual of [(584, 2), 1049, 31]-NRT-code) | [i] | OOA Folding | |