Information on Result #1013854
Linear OOA(772, 274544, F7, 3, 11) (dual of [(274544, 3), 823560, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(78, 28, F7, 3, 5) (dual of [(28, 3), 76, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 28)-net over F7, using
- linear OOA(764, 274516, F7, 3, 11) (dual of [(274516, 3), 823484, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(764, 823548, F7, 11) (dual of [823548, 823484, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(764, 823550, F7, 11) (dual of [823550, 823486, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(764, 823543, F7, 11) (dual of [823543, 823479, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(764, 823550, F7, 11) (dual of [823550, 823486, 12]-code), using
- OOA 3-folding [i] based on linear OA(764, 823548, F7, 11) (dual of [823548, 823484, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.