Information on Result #1712524
Digital (40, 49, 3284)-net over F3, using net defined by OOA based on linear OOA(349, 3284, F3, 12, 9) (dual of [(3284, 12), 39359, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(349, 3285, F3, 4, 9) (dual of [(3285, 4), 13091, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(349, 3285, F3, 2, 9) (dual of [(3285, 2), 6521, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(349, 6570, F3, 9) (dual of [6570, 6521, 10]-code), using
- construction X4 applied to C([1,9]) ⊂ C([1,7]) [i] based on
- linear OA(348, 6560, F3, 9) (dual of [6560, 6512, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(340, 6560, F3, 7) (dual of [6560, 6520, 8]-code), using the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- dual of repetition code with length 10 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 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
- construction X4 applied to C([1,9]) ⊂ C([1,7]) [i] based on
- OOA 2-folding [i] based on linear OA(349, 6570, F3, 9) (dual of [6570, 6521, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(349, 3285, F3, 2, 9) (dual of [(3285, 2), 6521, 10]-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.