Information on Result #669053
Linear OA(4951, 117661, F49, 14) (dual of [117661, 117610, 15]-code), using generalized (u, u+v)-construction based on
- linear OA(492, 3, F49, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,49)), using
- dual of repetition code with length 3 [i]
- linear OA(493, 3, F49, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,49) or 3-cap in PG(2,49)), using
- linear OA(493, 3, F49, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,49) or 3-cap in PG(2,49)) (see above)
- linear OA(493, 3, F49, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,49) or 3-cap in PG(2,49)) (see above)
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.