Information on Result #731256
Linear OA(8140, 8204, F8, 35) (dual of [8204, 8064, 36]-code), using trace code based on linear OA(6470, 4102, F64, 35) (dual of [4102, 4032, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(6469, 4097, F64, 35) (dual of [4097, 4028, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(6465, 4097, F64, 33) (dual of [4097, 4032, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-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(8141, 8205, F8, 35) (dual of [8205, 8064, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8140, 4102, F8, 2, 35) (dual of [(4102, 2), 8064, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8140, 2734, F8, 3, 35) (dual of [(2734, 3), 8062, 36]-NRT-code) | [i] | ||