Information on Result #688533
Linear OA(8145, 538, F8, 52) (dual of [538, 393, 53]-code), using construction XX applied to Ce(51) ⊂ Ce(45) ⊂ Ce(44) based on
- linear OA(8136, 512, F8, 52) (dual of [512, 376, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8121, 512, F8, 46) (dual of [512, 391, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8118, 512, F8, 45) (dual of [512, 394, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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.