Information on Result #1407736
Linear OOA(365, 262, F3, 2, 18) (dual of [(262, 2), 459, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(365, 262, F3, 18) (dual of [262, 197, 19]-code), using
- construction XX applied to C1 = C([105,120]), C2 = C([108,122]), C3 = C1 + C2 = C([108,120]), and C∩ = C1 ∩ C2 = C([105,122]) [i] based on
- linear OA(355, 242, F3, 16) (dual of [242, 187, 17]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {105,106,…,120}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(351, 242, F3, 15) (dual of [242, 191, 16]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {108,109,…,122}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(361, 242, F3, 18) (dual of [242, 181, 19]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {105,106,…,122}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(345, 242, F3, 13) (dual of [242, 197, 14]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {108,109,…,120}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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
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.