Information on Result #1531718
Linear OOA(3234, 68694, F3, 3, 30) (dual of [(68694, 3), 205848, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3234, 68694, F3, 2, 30) (dual of [(68694, 2), 137154, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 88602, F3, 2, 30) (dual of [(88602, 2), 176970, 31]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3233, 88602, F3, 2, 30) (dual of [(88602, 2), 176971, 31]-NRT-code), using
- strength reduction [i] based on linear OOA(3233, 88602, F3, 2, 31) (dual of [(88602, 2), 176971, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3233, 177204, F3, 31) (dual of [177204, 176971, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(312, 56, F3, 5) (dual of [56, 44, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- (u, u+v)-construction [i] based on
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- OOA 2-folding [i] based on linear OA(3233, 177204, F3, 31) (dual of [177204, 176971, 32]-code), using
- strength reduction [i] based on linear OOA(3233, 88602, F3, 2, 31) (dual of [(88602, 2), 176971, 32]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3233, 88602, F3, 2, 30) (dual of [(88602, 2), 176971, 31]-NRT-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.