Information on Result #669043
Linear OA(4924, 117698, F49, 7) (dual of [117698, 117674, 8]-code), using generalized (u, u+v)-construction based on
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(490, 2402, F49, 0) (dual of [2402, 2402, 1]-code) (see above)
- linear OA(491, 2402, F49, 1) (dual of [2402, 2401, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(491, 2402, F49, 1) (dual of [2402, 2401, 2]-code) (see above)
- linear OA(491, 2402, F49, 1) (dual of [2402, 2401, 2]-code) (see above)
- linear OA(491, 2402, F49, 1) (dual of [2402, 2401, 2]-code) (see above)
- linear OA(493, 2402, F49, 2) (dual of [2402, 2399, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(493, 2451, F49, 2) (dual of [2451, 2448, 3]-code), using
- Hamming code H(3,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 2451, F49, 2) (dual of [2451, 2448, 3]-code), using
- linear OA(494, 2402, F49, 3) (dual of [2402, 2398, 4]-code or 2402-cap in PG(3,49)), using
- linear OA(4913, 2402, F49, 7) (dual of [2402, 2389, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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.