Information on Result #704605
Linear OA(3141, 767, F3, 33) (dual of [767, 626, 34]-code), using construction XX applied to C1 = C([333,363]), C2 = C([339,365]), C3 = C1 + C2 = C([339,363]), and C∩ = C1 ∩ C2 = C([333,365]) based on
- linear OA(3123, 728, F3, 31) (dual of [728, 605, 32]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,363}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3109, 728, F3, 27) (dual of [728, 619, 28]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,365}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3130, 728, F3, 33) (dual of [728, 598, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,365}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3102, 728, F3, 25) (dual of [728, 626, 26]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,363}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(310, 31, F3, 5) (dual of [31, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 36, F3, 5) (dual of [36, 26, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(31, 12, F3, 1) (dual of [12, 11, 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(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(310, 36, F3, 5) (dual of [36, 26, 6]-code), using
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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 (see above)
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.