Information on Result #688513
Linear OA(8157, 538, F8, 57) (dual of [538, 381, 58]-code), using construction XX applied to Ce(56) ⊂ Ce(50) ⊂ Ce(49) based on
- linear OA(8148, 512, F8, 57) (dual of [512, 364, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8133, 512, F8, 51) (dual of [512, 379, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8130, 512, F8, 50) (dual of [512, 382, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(87, 24, F8, 5) (dual of [24, 17, 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, 2, F8, 0) (dual of [2, 2, 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.