Information on Result #1304872
Linear OA(3116, 266, F3, 37) (dual of [266, 150, 38]-code), using 4 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 0) based on linear OA(3115, 261, F3, 37) (dual of [261, 146, 38]-code), using
- construction XX applied to C1 = C([239,31]), C2 = C([0,33]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([239,33]) [i] based on
- linear OA(3106, 242, F3, 35) (dual of [242, 136, 36]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,31}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3111, 242, F3, 37) (dual of [242, 131, 38]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(396, 242, F3, 32) (dual of [242, 146, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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.