Information on Result #676493
Linear OA(3242, 803, F3, 54) (dual of [803, 561, 55]-code), using construction X applied to C([0,28]) ⊂ C([0,21]) 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(3169, 730, F3, 43) (dual of [730, 561, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(325, 73, F3, 10) (dual of [73, 48, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-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.