Information on Result #722410
Linear OA(16126, 271, F16, 72) (dual of [271, 145, 73]-code), using construction XX applied to C1 = C([253,68]), C2 = C([6,69]), C3 = C1 + C2 = C([6,68]), and C∩ = C1 ∩ C2 = C([253,69]) based on
- linear OA(16117, 255, F16, 71) (dual of [255, 138, 72]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,68}, and designed minimum distance d ≥ |I|+1 = 72 [i]
- linear OA(16112, 255, F16, 64) (dual of [255, 143, 65]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,69}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(16119, 255, F16, 72) (dual of [255, 136, 73]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,69}, and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(16110, 255, F16, 63) (dual of [255, 145, 64]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {6,7,…,68}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(167, 14, F16, 7) (dual of [14, 7, 8]-code or 14-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.