Information on Result #1307519
Linear OA(454, 4169, F4, 11) (dual of [4169, 4115, 12]-code), using 62 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0, 1, 16 times 0, 1, 34 times 0) based on linear OA(449, 4102, F4, 11) (dual of [4102, 4053, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(449, 4096, F4, 11) (dual of [4096, 4047, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(443, 4096, F4, 10) (dual of [4096, 4053, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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: 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(454, 4169, F4, 2, 11) (dual of [(4169, 2), 8284, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(454, 4169, F4, 3, 11) (dual of [(4169, 3), 12453, 12]-NRT-code) | [i] | ||
| 3 | Digital (43, 54, 4169)-net over F4 | [i] | ||
| 4 | Linear OOA(454, 2084, F4, 2, 11) (dual of [(2084, 2), 4114, 12]-NRT-code) | [i] | OOA Folding | |