Information on Result #680471
Linear OA(4111, 1029, F4, 30) (dual of [1029, 918, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) 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: 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(4115, 1046, F4, 30) (dual of [1046, 931, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(4116, 1061, F4, 30) (dual of [1061, 945, 31]-code) | [i] | ||
| 3 | Linear OA(4117, 1086, F4, 30) (dual of [1086, 969, 31]-code) | [i] | ||
| 4 | Linear OA(4118, 1123, F4, 30) (dual of [1123, 1005, 31]-code) | [i] | ||
| 5 | Linear OA(4119, 1169, F4, 30) (dual of [1169, 1050, 31]-code) | [i] | ||
| 6 | Linear OA(4120, 1222, F4, 30) (dual of [1222, 1102, 31]-code) | [i] | ||
| 7 | Linear OA(4121, 1280, F4, 30) (dual of [1280, 1159, 31]-code) | [i] | ||
| 8 | Linear OOA(4111, 514, F4, 2, 30) (dual of [(514, 2), 917, 31]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4111, 343, F4, 3, 30) (dual of [(343, 3), 918, 31]-NRT-code) | [i] | ||