Information on Result #899461
Linear OOA(2567, 4202766, F25, 2, 11) (dual of [(4202766, 2), 8405465, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2516, 8465, F25, 2, 5) (dual of [(8465, 2), 16914, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(253, 651, F25, 2, 2) (dual of [(651, 2), 1299, 3]-NRT-code), using
- appending kth column [i] based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- Hamming code H(3,25) [i]
- appending kth column [i] based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- linear OOA(2513, 7814, F25, 2, 5) (dual of [(7814, 2), 15615, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2513, 15628, F25, 5) (dual of [15628, 15615, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(2513, 15625, F25, 5) (dual of [15625, 15612, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2510, 15625, F25, 4) (dual of [15625, 15615, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(4) ⊂ Ce(3) [i] based on
- OOA 2-folding [i] based on linear OA(2513, 15628, F25, 5) (dual of [15628, 15615, 6]-code), using
- linear OOA(253, 651, F25, 2, 2) (dual of [(651, 2), 1299, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2551, 4194301, F25, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2551, 8388602, F25, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- OOA 2-folding [i] based on linear OA(2551, 8388602, F25, 11) (dual of [8388602, 8388551, 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.