Information on Result #1011782
Linear OOA(495, 2796220, F4, 3, 9) (dual of [(2796220, 3), 8388565, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(424, 2796203, F4, 3, 4) (dual of [(2796203, 3), 8388585, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 24, 2796203)-net over F4, using
- linear OOA(471, 1398110, F4, 3, 9) (dual of [(1398110, 3), 4194259, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(471, 4194330, F4, 9) (dual of [4194330, 4194259, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(44, 26, F4, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- Hamming code H(4,4) [i]
- discarding factors / shortening the dual code based on linear OA(44, 85, F4, 2) (dual of [85, 81, 3]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- OOA 3-folding [i] based on linear OA(471, 4194330, F4, 9) (dual of [4194330, 4194259, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
None.