Information on Result #899448
Linear OOA(2550, 195640, F25, 2, 11) (dual of [(195640, 2), 391230, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(259, 326, F25, 2, 5) (dual of [(326, 2), 643, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;50,25) [i]
- linear OOA(257, 300, F25, 2, 5) (dual of [(300, 2), 593, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(257, 600, F25, 5) (dual of [600, 593, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- OOA 2-folding [i] based on linear OA(257, 600, F25, 5) (dual of [600, 593, 6]-code), using
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2541, 195314, F25, 2, 11) (dual of [(195314, 2), 390587, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2541, 390628, F25, 11) (dual of [390628, 390587, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, 390629, F25, 11) (dual of [390629, 390588, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(2541, 390625, F25, 11) (dual of [390625, 390584, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(2541, 390629, F25, 11) (dual of [390629, 390588, 12]-code), using
- OOA 2-folding [i] based on linear OA(2541, 390628, F25, 11) (dual of [390628, 390587, 12]-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.