Information on Result #680991
Linear OA(4234, 1049, F4, 61) (dual of [1049, 815, 62]-code), using construction XX applied to Ce(60) ⊂ Ce(56) ⊂ Ce(54) based on
- linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4211, 1024, F4, 57) (dual of [1024, 813, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4206, 1024, F4, 55) (dual of [1024, 818, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(45, 22, F4, 3) (dual of [22, 17, 4]-code or 22-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), 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.