Information on Result #816573
Linear OOA(3135, 135, F3, 2, 43) (dual of [(135, 2), 135, 44]-NRT-code), using OOA 2-folding based on linear OA(3135, 270, F3, 43) (dual of [270, 135, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(3135, 271, F3, 43) (dual of [271, 136, 44]-code), using
- construction XX applied to C1 = C([82,122]), C2 = C([88,124]), C3 = C1 + C2 = C([88,122]), and C∩ = C1 ∩ C2 = C([82,124]) [i] based on
- linear OA(3121, 242, F3, 41) (dual of [242, 121, 42]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,122}, and designed minimum distance d ≥ |I|+1 = 42 [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 = {88,89,…,124}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3126, 242, F3, 43) (dual of [242, 116, 44]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,124}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- 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 = {88,89,…,122}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(38, 23, F3, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- 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
- construction XX applied to C1 = C([82,122]), C2 = C([88,124]), C3 = C1 + C2 = C([88,122]), and C∩ = C1 ∩ C2 = C([82,124]) [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.