Information on Result #1716538
Digital (169, 202, 2275)-net over F3, using net defined by OOA based on linear OOA(3202, 2275, F3, 36, 33) (dual of [(2275, 36), 81698, 34]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3202, 9101, F3, 4, 33) (dual of [(9101, 4), 36202, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 9103, F3, 4, 33) (dual of [(9103, 4), 36210, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3202, 9103, F3, 2, 33) (dual of [(9103, 2), 18004, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 9852, F3, 2, 33) (dual of [(9852, 2), 19502, 34]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3201, 9852, F3, 2, 33) (dual of [(9852, 2), 19503, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3201, 19704, F3, 33) (dual of [19704, 19503, 34]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3200, 19703, F3, 33) (dual of [19703, 19503, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- linear OA(3199, 19684, F3, 33) (dual of [19684, 19485, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(31, 19, F3, 1) (dual of [19, 18, 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 X applied to C([0,16]) ⊂ C([0,15]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3200, 19703, F3, 33) (dual of [19703, 19503, 34]-code), using
- OOA 2-folding [i] based on linear OA(3201, 19704, F3, 33) (dual of [19704, 19503, 34]-code), using
- 31 times duplication [i] based on linear OOA(3201, 9852, F3, 2, 33) (dual of [(9852, 2), 19503, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 9852, F3, 2, 33) (dual of [(9852, 2), 19502, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3202, 9103, F3, 2, 33) (dual of [(9103, 2), 18004, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3202, 9103, F3, 4, 33) (dual of [(9103, 4), 36210, 34]-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.