Information on Result #1715478
Digital (121, 147, 1297)-net over F3, using net defined by OOA based on linear OOA(3147, 1297, F3, 35, 26) (dual of [(1297, 35), 45248, 27]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3147, 3892, F3, 5, 26) (dual of [(3892, 5), 19313, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3147, 3893, F3, 5, 26) (dual of [(3893, 5), 19318, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3147, 3893, F3, 26) (dual of [3893, 3746, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3147, 6597, F3, 26) (dual of [6597, 6450, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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 Ce(25) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3147, 6597, F3, 26) (dual of [6597, 6450, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3147, 3893, F3, 26) (dual of [3893, 3746, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(3147, 3893, F3, 5, 26) (dual of [(3893, 5), 19318, 27]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.