Information on Result #1714664
Digital (102, 123, 2285)-net over F3, using net defined by OOA based on linear OOA(3123, 2285, F3, 25, 21) (dual of [(2285, 25), 57002, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3123, 4571, F3, 5, 21) (dual of [(4571, 5), 22732, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3123, 4572, F3, 5, 21) (dual of [(4572, 5), 22737, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3123, 4572, F3, 21) (dual of [4572, 4449, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3123, 6573, F3, 21) (dual of [6573, 6450, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([1,10]) [i] based on
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3112, 6562, F3, 10) (dual of [6562, 6450, 11]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [i]
- construction X applied to C([0,10]) ⊂ C([1,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3123, 6573, F3, 21) (dual of [6573, 6450, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3123, 4572, F3, 21) (dual of [4572, 4449, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(3123, 4572, F3, 5, 21) (dual of [(4572, 5), 22737, 22]-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.