Information on Result #1445403
Linear OOA(8116, 3954, F8, 2, 33) (dual of [(3954, 2), 7792, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8116, 3954, F8, 33) (dual of [3954, 3838, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(8116, 4107, F8, 33) (dual of [4107, 3991, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(8113, 4097, F8, 33) (dual of [4097, 3984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(8105, 4097, F8, 29) (dual of [4097, 3992, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
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(8116, 1977, F8, 3, 33) (dual of [(1977, 3), 5815, 34]-NRT-code) | [i] | OOA Folding |