Information on Result #618482
Linear OA(4922, 117654, F49, 7) (dual of [117654, 117632, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
- linear OA(4919, 117650, F49, 7) (dual of [117650, 117631, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(4918, 117650, F49, 3) (dual of [117650, 117632, 4]-code or 117650-cap in PG(17,49)), using the narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(493, 4, F49, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,49) or 4-cap in PG(2,49)), using
- dual of repetition code with length 4 [i]
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.