Information on Result #1179850
Digital (101, 111, 838865)-net over F2, using net defined by OOA based on linear OOA(2111, 838865, F2, 10, 10) (dual of [(838865, 10), 8388539, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2111, 4194325, F2, 10) (dual of [4194325, 4194214, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2111, 4194327, F2, 10) (dual of [4194327, 4194216, 11]-code), using
- 1 times truncation [i] based on linear OA(2112, 4194328, F2, 11) (dual of [4194328, 4194216, 12]-code), using
- construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(2111, 4194304, F2, 11) (dual of [4194304, 4194193, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(289, 4194304, F2, 9) (dual of [4194304, 4194215, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(223, 24, F2, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,2)), using
- dual of repetition code with length 24 [i]
- linear OA(21, 24, F2, 1) (dual of [24, 23, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(2112, 4194328, F2, 11) (dual of [4194328, 4194216, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2111, 4194327, F2, 10) (dual of [4194327, 4194216, 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.