Information on Result #1646742
Linear OOA(3182, 3291, F3, 5, 34) (dual of [(3291, 5), 16273, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3182, 3291, F3, 2, 34) (dual of [(3291, 2), 6400, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3182, 6582, F3, 34) (dual of [6582, 6400, 35]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3181, 6581, F3, 34) (dual of [6581, 6400, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3181, 6581, F3, 34) (dual of [6581, 6400, 35]-code), using
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.