Information on Result #1622442
Linear OOA(3219, 2353, F3, 5, 39) (dual of [(2353, 5), 11546, 40]-NRT-code), using OOA 2-folding based on linear OOA(3219, 4706, F3, 3, 39) (dual of [(4706, 3), 13899, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3219, 4707, F3, 3, 39) (dual of [(4707, 3), 13902, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3219, 4707, F3, 39) (dual of [4707, 4488, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(3219, 6598, F3, 39) (dual of [6598, 6379, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,16]) [i] based on
- linear OA(3209, 6562, F3, 39) (dual of [6562, 6353, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(3177, 6562, F3, 33) (dual of [6562, 6385, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(310, 36, F3, 5) (dual of [36, 26, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(31, 12, F3, 1) (dual of [12, 11, 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, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- construction X applied to C([0,19]) ⊂ C([0,16]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3219, 6598, F3, 39) (dual of [6598, 6379, 40]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3219, 4707, F3, 39) (dual of [4707, 4488, 40]-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.