Information on Result #1715476
Digital (120, 146, 1239)-net over F3, using net defined by OOA based on linear OOA(3146, 1239, F3, 35, 26) (dual of [(1239, 35), 43219, 27]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3146, 3718, F3, 5, 26) (dual of [(3718, 5), 18444, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3146, 3718, F3, 26) (dual of [3718, 3572, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code), using
- construction XX applied to Ce(25) ⊂ Ce(21) ⊂ 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(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(36, 32, F3, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- Reed–Solomon code RS(2,3) [i]
- construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3146, 3718, F3, 26) (dual of [3718, 3572, 27]-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.