Information on Result #693012
Linear OA(1679, 276, F16, 40) (dual of [276, 197, 41]-code), using construction XX applied to Ce(39) ⊂ Ce(33) ⊂ Ce(30) based on
- linear OA(1671, 256, F16, 40) (dual of [256, 185, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(1660, 256, F16, 34) (dual of [256, 196, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(1658, 256, F16, 31) (dual of [256, 198, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(165, 17, F16, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,16)), using
- extended Reed–Solomon code RSe(12,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [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.