Information on Result #1011779
Linear OOA(492, 2796210, F4, 3, 9) (dual of [(2796210, 3), 8388538, 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(468, 1398105, F4, 3, 9) (dual of [(1398105, 3), 4194247, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(468, 4194315, F4, 9) (dual of [4194315, 4194247, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(468, 4194316, F4, 9) (dual of [4194316, 4194248, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [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(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(41, 12, F4, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(468, 4194316, F4, 9) (dual of [4194316, 4194248, 10]-code), using
- OOA 3-folding [i] based on linear OA(468, 4194315, F4, 9) (dual of [4194315, 4194247, 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.