Information on Result #737295
Linear OA(482, 4130, F4, 17) (dual of [4130, 4048, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(473, 4097, F4, 17) (dual of [4097, 4024, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(449, 4097, F4, 11) (dual of [4097, 4048, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), 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(481, 4129, F4, 16) (dual of [4129, 4048, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(483, 4132, F4, 17) (dual of [4132, 4049, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(482, 2065, F4, 2, 17) (dual of [(2065, 2), 4048, 18]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(482, 1376, F4, 3, 17) (dual of [(1376, 3), 4046, 18]-NRT-code) | [i] | ||