Information on Result #1563504
Linear OOA(4916, 244, F49, 3, 9) (dual of [(244, 3), 716, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4916, 244, F49, 9) (dual of [244, 228, 10]-code), using
- construction XX applied to C1 = C([239,6]), C2 = C([0,7]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([239,7]) [i] based on
- linear OA(4914, 240, F49, 8) (dual of [240, 226, 9]-code), using the BCH-code C(I) with length 240 | 492−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(4914, 240, F49, 8) (dual of [240, 226, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(4916, 240, F49, 9) (dual of [240, 224, 10]-code), using the BCH-code C(I) with length 240 | 492−1, defining interval I = {−1,0,…,7}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4912, 240, F49, 7) (dual of [240, 228, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
Mode: 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.