Information on Result #899784
Linear OOA(25104, 4194616, F25, 2, 18) (dual of [(4194616, 2), 8389128, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2518, 315, F25, 2, 9) (dual of [(315, 2), 612, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2518, 630, F25, 9) (dual of [630, 612, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2518, 631, F25, 9) (dual of [631, 613, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(2517, 626, F25, 9) (dual of [626, 609, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(2513, 626, F25, 7) (dual of [626, 613, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2518, 631, F25, 9) (dual of [631, 613, 10]-code), using
- OOA 2-folding [i] based on linear OA(2518, 630, F25, 9) (dual of [630, 612, 10]-code), using
- linear OOA(2586, 4194301, F25, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- OOA 2-folding [i] based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-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.