Information on Result #895377
Linear OOA(447, 4194316, F4, 2, 5) (dual of [(4194316, 2), 8388585, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(412, 5592405, F4, 2, 2) (dual of [(5592405, 2), 11184798, 3]-NRT-code), using
- appending kth column [i] based on linear OA(412, 5592405, F4, 2) (dual of [5592405, 5592393, 3]-code), using
- Hamming code H(12,4) [i]
- appending kth column [i] based on linear OA(412, 5592405, F4, 2) (dual of [5592405, 5592393, 3]-code), using
- linear OOA(435, 2097158, F4, 2, 5) (dual of [(2097158, 2), 4194281, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(435, 4194316, F4, 5) (dual of [4194316, 4194281, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(2) [i] based on
- linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(423, 4194304, F4, 3) (dual of [4194304, 4194281, 4]-code or 4194304-cap in PG(22,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(4) ⊂ Ce(2) [i] based on
- OOA 2-folding [i] based on linear OA(435, 4194316, F4, 5) (dual of [4194316, 4194281, 6]-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.