Information on Result #691749
Linear OA(16129, 65562, F16, 33) (dual of [65562, 65433, 34]-code), using construction XX applied to C([0,16]) ⊂ C([0,13]) ⊂ C([0,12]) based on
- linear OA(16121, 65537, F16, 33) (dual of [65537, 65416, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(16105, 65537, F16, 27) (dual of [65537, 65432, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(1697, 65537, F16, 25) (dual of [65537, 65440, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(166, 23, F16, 5) (dual of [23, 17, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using
- linear OA(161, 2, F16, 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.