Information on Result #1603760
Linear OOA(3125, 615, F3, 4, 31) (dual of [(615, 4), 2335, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3125, 615, F3, 31) (dual of [615, 490, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3125, 740, F3, 31) (dual of [740, 615, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,13]) [i] based on
- linear OA(3121, 730, F3, 31) (dual of [730, 609, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3109, 730, F3, 27) (dual of [730, 621, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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([0,15]) ⊂ C([0,13]) [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.