Information on Result #1011754
Linear OOA(473, 2796218, F4, 3, 7) (dual of [(2796218, 3), 8388581, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(416, 1850766, F4, 3, 3) (dual of [(1850766, 3), 5552282, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(416, 1850766, F4, 2, 3) (dual of [(1850766, 2), 3701516, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(416, 1850766, F4, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using
- appending kth column [i] based on linear OOA(416, 1850766, F4, 2, 3) (dual of [(1850766, 2), 3701516, 4]-NRT-code), using
- linear OOA(457, 1398109, F4, 3, 7) (dual of [(1398109, 3), 4194270, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(457, 4194327, F4, 7) (dual of [4194327, 4194270, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- 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(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(41, 23, F4, 1) (dual of [23, 22, 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(6) ⊂ Ce(4) [i] based on
- OOA 3-folding [i] based on linear OA(457, 4194327, F4, 7) (dual of [4194327, 4194270, 8]-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.