Information on Result #683719
Linear OA(5136, 643, F5, 42) (dual of [643, 507, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(37) ⊂ Ce(36) based on
- linear OA(5131, 625, F5, 42) (dual of [625, 494, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5119, 625, F5, 38) (dual of [625, 506, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(5115, 625, F5, 37) (dual of [625, 510, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.