Information on Result #904655
Linear OOA(8165, 3513, F81, 2, 23) (dual of [(3513, 2), 6961, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8120, 232, F81, 2, 11) (dual of [(232, 2), 444, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 3240, F81, 2, 5) (dual of [(3240, 2), 6473, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(817, 6480, F81, 5) (dual of [6480, 6473, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(817, 6480, F81, 5) (dual of [6480, 6473, 6]-code), using
- linear OOA(8113, 116, F81, 2, 11) (dual of [(116, 2), 219, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,220P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(817, 3240, F81, 2, 5) (dual of [(3240, 2), 6473, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8145, 3281, F81, 2, 23) (dual of [(3281, 2), 6517, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), 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.