Information on Result #677384
Linear OA(3146, 255, F3, 49) (dual of [255, 109, 50]-code), using construction XX applied to Ce(48) ⊂ Ce(46) ⊂ Ce(43) based on
- 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(3131, 243, F3, 44) (dual of [243, 112, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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.