Information on Result #976092
Linear OOA(786, 2882407, F7, 3, 11) (dual of [(2882407, 3), 8647135, 12]-NRT-code), using OOA 2-folding based on linear OOA(786, 5764814, F7, 2, 11) (dual of [(5764814, 2), 11529542, 12]-NRT-code), using
- trace code [i] based on linear OOA(4943, 2882407, F49, 2, 11) (dual of [(2882407, 2), 5764771, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4943, 5764814, F49, 11) (dual of [5764814, 5764771, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4943, 5764815, F49, 11) (dual of [5764815, 5764772, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(4941, 5764801, F49, 11) (dual of [5764801, 5764760, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(492, 14, F49, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(4943, 5764815, F49, 11) (dual of [5764815, 5764772, 12]-code), using
- OOA 2-folding [i] based on linear OA(4943, 5764814, F49, 11) (dual of [5764814, 5764771, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.