Information on Result #1644566
Linear OOA(3149, 694, F3, 5, 37) (dual of [(694, 5), 3321, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3149, 694, F3, 37) (dual of [694, 545, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3149, 740, F3, 37) (dual of [740, 591, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [i] based on
- linear OA(3145, 730, F3, 37) (dual of [730, 585, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3133, 730, F3, 33) (dual of [730, 597, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(34, 10, F3, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
- construction X applied to C([0,18]) ⊂ C([0,16]) [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
None.