Information on Result #676459
Linear OA(3237, 780, F3, 54) (dual of [780, 543, 55]-code), using construction X applied to C([0,28]) ⊂ C([0,22]) based on
- linear OA(3217, 730, F3, 57) (dual of [730, 513, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(3181, 730, F3, 45) (dual of [730, 549, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(320, 50, F3, 8) (dual of [50, 30, 9]-code), using
- (u, u+v)-construction [i] based on
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(313, 25, F3, 8) (dual of [25, 12, 9]-code), using
- 1 times code embedding in larger space [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times code embedding in larger space [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
- (u, u+v)-construction [i] based on
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.