Information on Result #1476498
Linear OOA(3205, 2450, F3, 3, 36) (dual of [(2450, 3), 7145, 37]-NRT-code), using OOA 2-folding based on linear OOA(3205, 4900, F3, 2, 36) (dual of [(4900, 2), 9595, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3205, 4901, F3, 2, 36) (dual of [(4901, 2), 9597, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3205, 4901, F3, 36) (dual of [4901, 4696, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3205, 6606, F3, 36) (dual of [6606, 6401, 37]-code), using
- strength reduction [i] based on linear OA(3205, 6606, F3, 37) (dual of [6606, 6401, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- linear OA(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(312, 44, F3, 5) (dual of [44, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 54, F3, 5) (dual of [54, 42, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- 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(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(312, 54, F3, 5) (dual of [54, 42, 6]-code), using
- construction X applied to C([0,18]) ⊂ C([0,15]) [i] based on
- strength reduction [i] based on linear OA(3205, 6606, F3, 37) (dual of [6606, 6401, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3205, 6606, F3, 36) (dual of [6606, 6401, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3205, 4901, F3, 36) (dual of [4901, 4696, 37]-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.