Information on Result #692992
Linear OA(16130, 275, F16, 73) (dual of [275, 145, 74]-code), using construction XX applied to Ce(72) ⊂ Ce(67) ⊂ Ce(62) based on
- linear OA(16121, 256, F16, 73) (dual of [256, 135, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(16112, 256, F16, 68) (dual of [256, 144, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(16110, 256, F16, 63) (dual of [256, 146, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(164, 14, F16, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- linear OA(164, 5, F16, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,16)), using
- dual of repetition code with length 5 [i]
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.