Information on Result #893932
Linear OOA(740, 5767256, F7, 2, 5) (dual of [(5767256, 2), 11534472, 6]-NRT-code), using trace code based on linear OOA(4920, 2883628, F49, 2, 5) (dual of [(2883628, 2), 5767236, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4920, 5767256, F49, 5) (dual of [5767256, 5767236, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(493, 2451, F49, 2) (dual of [2451, 2448, 3]-code), using
- Hamming code H(3,49) [i]
- linear OA(4917, 5764805, F49, 5) (dual of [5764805, 5764788, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(4917, 5764801, F49, 5) (dual of [5764801, 5764784, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 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
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(493, 2451, F49, 2) (dual of [2451, 2448, 3]-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.