Information on Result #1182134
Digital (221, 243, 381302)-net over F2, using net defined by OOA based on linear OOA(2243, 381302, F2, 22, 22) (dual of [(381302, 22), 8388401, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(2243, 4194322, F2, 22) (dual of [4194322, 4194079, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2243, 4194327, F2, 22) (dual of [4194327, 4194084, 23]-code), using
- 1 times truncation [i] based on linear OA(2244, 4194328, F2, 23) (dual of [4194328, 4194084, 24]-code), using
- construction X4 applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(2243, 4194304, F2, 23) (dual of [4194304, 4194061, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2221, 4194304, F2, 21) (dual of [4194304, 4194083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(22) ⊂ Ce(20) [i] based on
- 1 times truncation [i] based on linear OA(2244, 4194328, F2, 23) (dual of [4194328, 4194084, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2243, 4194327, F2, 22) (dual of [4194327, 4194084, 23]-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.