Information on Result #1457791
Linear OOA(2712, 108, F27, 2, 7) (dual of [(108, 2), 204, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2712, 108, F27, 7) (dual of [108, 96, 8]-code), using
- construction XX applied to C1 = C([103,4]), C2 = C([0,5]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([103,5]) [i] based on
- linear OA(2710, 104, F27, 6) (dual of [104, 94, 7]-code), using the BCH-code C(I) with length 104 | 272−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2710, 104, F27, 6) (dual of [104, 94, 7]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2712, 104, F27, 7) (dual of [104, 92, 8]-code), using the BCH-code C(I) with length 104 | 272−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(278, 104, F27, 5) (dual of [104, 96, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 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.