Information on Result #1188540
Digital (34, 45, 628)-net over F5, using net defined by OOA based on linear OOA(545, 628, F5, 11, 11) (dual of [(628, 11), 6863, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(545, 3141, F5, 11) (dual of [3141, 3096, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(545, 3144, F5, 11) (dual of [3144, 3099, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(541, 3125, F5, 11) (dual of [3125, 3084, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(545, 3144, F5, 11) (dual of [3144, 3099, 12]-code), using
Mode: Constructive and 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.