Information on Result #680571
Linear OA(4241, 1044, F4, 63) (dual of [1044, 803, 64]-code), using construction X applied to Ce(62) ⊂ Ce(58) based on
- linear OA(4236, 1024, F4, 63) (dual of [1024, 788, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(4221, 1024, F4, 59) (dual of [1024, 803, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-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
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.