Information on Result #677670
Linear OA(358, 130, F3, 19) (dual of [130, 72, 20]-code), using construction XX applied to Ce(18) ⊂ Ce(16) ⊂ Ce(15) based on
- linear OA(356, 122, F3, 19) (dual of [122, 66, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(351, 122, F3, 17) (dual of [122, 71, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(346, 122, F3, 16) (dual of [122, 76, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.