Information on Result #1731352
Digital (73, 87, 1520153)-net over F9, using net defined by OOA based on linear OOA(987, 1520153, F9, 21, 14) (dual of [(1520153, 21), 31923126, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(987, 4560460, F9, 3, 14) (dual of [(4560460, 3), 13681293, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(987, 4560461, F9, 3, 14) (dual of [(4560461, 3), 13681296, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(987, 4560461, F9, 14) (dual of [4560461, 4560374, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(987, 4782986, F9, 14) (dual of [4782986, 4782899, 15]-code), using
- 1 times code embedding in larger space [i] based on linear OA(986, 4782985, F9, 14) (dual of [4782985, 4782899, 15]-code), using
- construction X4 applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(915, 16, F9, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,9)), using
- dual of repetition code with length 16 [i]
- linear OA(91, 16, F9, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- construction X4 applied to Ce(13) ⊂ Ce(11) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(986, 4782985, F9, 14) (dual of [4782985, 4782899, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(987, 4782986, F9, 14) (dual of [4782986, 4782899, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(987, 4560461, F9, 14) (dual of [4560461, 4560374, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(987, 4560461, F9, 3, 14) (dual of [(4560461, 3), 13681296, 15]-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.