Information on Result #1188468
Digital (42, 52, 3129)-net over F5, using net defined by OOA based on linear OOA(552, 3129, F5, 10, 10) (dual of [(3129, 10), 31238, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(552, 15645, F5, 10) (dual of [15645, 15593, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(552, 15646, F5, 10) (dual of [15646, 15594, 11]-code), using
- 1 times truncation [i] based on linear OA(553, 15647, F5, 11) (dual of [15647, 15594, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(531, 15625, F5, 7) (dual of [15625, 15594, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(553, 15647, F5, 11) (dual of [15647, 15594, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(552, 15646, F5, 10) (dual of [15646, 15594, 11]-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.