Information on Result #823097
Linear OOA(455, 175, F4, 2, 15) (dual of [(175, 2), 295, 16]-NRT-code), using OOA 2-folding based on linear OA(455, 350, F4, 15) (dual of [350, 295, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 351, F4, 15) (dual of [351, 296, 16]-code), using
- construction XX applied to C1 = C([103,116]), C2 = C([102,115]), C3 = C1 + C2 = C([103,115]), and C∩ = C1 ∩ C2 = C([102,116]) [i] based on
- linear OA(450, 341, F4, 14) (dual of [341, 291, 15]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {103,104,…,116}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(450, 341, F4, 14) (dual of [341, 291, 15]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {102,103,…,115}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(455, 341, F4, 15) (dual of [341, 286, 16]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {102,103,…,116}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(445, 341, F4, 13) (dual of [341, 296, 14]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {103,104,…,115}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code) (see above)
- construction XX applied to C1 = C([103,116]), C2 = C([102,115]), C3 = C1 + C2 = C([103,115]), and C∩ = C1 ∩ C2 = C([102,116]) [i] based on
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.