Information on Result #1014113
Linear OOA(789, 814, F7, 3, 23) (dual of [(814, 3), 2353, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(712, 13, F7, 3, 11) (dual of [(13, 3), 27, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 12, 13)-net over F7, using
- 1 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 12, 13)-net over F7, using
- linear OOA(777, 801, F7, 3, 23) (dual of [(801, 3), 2326, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(777, 2403, F7, 23) (dual of [2403, 2326, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(777, 2405, F7, 23) (dual of [2405, 2328, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(777, 2401, F7, 23) (dual of [2401, 2324, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(777, 2405, F7, 23) (dual of [2405, 2328, 24]-code), using
- OOA 3-folding [i] based on linear OA(777, 2403, F7, 23) (dual of [2403, 2326, 24]-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.