Information on Result #1181720
Digital (159, 178, 58257)-net over F2, using net defined by OOA based on linear OOA(2178, 58257, F2, 19, 19) (dual of [(58257, 19), 1106705, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2178, 524314, F2, 19) (dual of [524314, 524136, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2178, 524320, F2, 19) (dual of [524320, 524142, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2172, 524288, F2, 19) (dual of [524288, 524116, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2178, 524320, F2, 19) (dual of [524320, 524142, 20]-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.