Information on Result #1307547
Linear OA(444, 305, F4, 13) (dual of [305, 261, 14]-code), using 38 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 17 times 0) based on linear OA(438, 261, F4, 13) (dual of [261, 223, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(437, 256, F4, 13) (dual of [256, 219, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(433, 256, F4, 11) (dual of [256, 223, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 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: 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(444, 305, F4, 2, 13) (dual of [(305, 2), 566, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(444, 305, F4, 3, 13) (dual of [(305, 3), 871, 14]-NRT-code) | [i] | ||
| 3 | Digital (31, 44, 305)-net over F4 | [i] | ||