Information on Result #688548
Linear OA(8137, 540, F8, 49) (dual of [540, 403, 50]-code), using construction XX applied to Ce(48) ⊂ Ce(42) ⊂ Ce(41) based on
- linear OA(8127, 512, F8, 49) (dual of [512, 385, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8112, 512, F8, 43) (dual of [512, 400, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8109, 512, F8, 42) (dual of [512, 403, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.