Information on Result #677383
Linear OA(3148, 251, F3, 50) (dual of [251, 103, 51]-code), using construction XX applied to Ce(49) ⊂ Ce(48) ⊂ Ce(46) based on
- linear OA(3146, 243, F3, 50) (dual of [243, 97, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3141, 243, F3, 49) (dual of [243, 102, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3136, 243, F3, 47) (dual of [243, 107, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.