Information on Result #1011749
Linear OOA(449, 87389, F4, 3, 7) (dual of [(87389, 3), 262118, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(43, 5, F4, 3, 3) (dual of [(5, 3), 12, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;12,4) [i]
- linear OOA(446, 87384, F4, 3, 7) (dual of [(87384, 3), 262106, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(446, 262152, F4, 7) (dual of [262152, 262106, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(446, 262153, F4, 7) (dual of [262153, 262107, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(437, 262144, F4, 6) (dual of [262144, 262107, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(446, 262153, F4, 7) (dual of [262153, 262107, 8]-code), using
- OOA 3-folding [i] based on linear OA(446, 262152, F4, 7) (dual of [262152, 262106, 8]-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.