Information on Result #1188570
Digital (53, 64, 15631)-net over F5, using net defined by OOA based on linear OOA(564, 15631, F5, 11, 11) (dual of [(15631, 11), 171877, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(564, 78156, F5, 11) (dual of [78156, 78092, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(564, 78160, F5, 11) (dual of [78160, 78096, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(57, 35, F5, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(564, 78160, F5, 11) (dual of [78160, 78096, 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.