Information on Result #1601028
Linear OOA(327, 390, F3, 4, 7) (dual of [(390, 4), 1533, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(327, 390, F3, 7) (dual of [390, 363, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 742, F3, 7) (dual of [742, 715, 8]-code), using
- construction XX applied to C1 = C([363,367]), C2 = C([361,365]), C3 = C1 + C2 = C([363,365]), and C∩ = C1 ∩ C2 = C([361,367]) [i] based on
- linear OA(319, 728, F3, 5) (dual of [728, 709, 6]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {363,364,365,366,367}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(319, 728, F3, 5) (dual of [728, 709, 6]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {361,362,363,364,365}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(325, 728, F3, 7) (dual of [728, 703, 8]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {361,362,…,367}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(313, 728, F3, 3) (dual of [728, 715, 4]-code or 728-cap in PG(12,3)), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {363,364,365}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code) (see above)
- construction XX applied to C1 = C([363,367]), C2 = C([361,365]), C3 = C1 + C2 = C([363,365]), and C∩ = C1 ∩ C2 = C([361,367]) [i] based on
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.