Information on Result #1013087
Linear OOA(5119, 4209929, F5, 3, 10) (dual of [(4209929, 3), 12629668, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(527, 15628, F5, 3, 5) (dual of [(15628, 3), 46857, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(527, 31257, F5, 5) (dual of [31257, 31230, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(526, 31256, F5, 5) (dual of [31256, 31230, 6]-code), using
- trace code [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
- trace code [i] based on linear OA(2513, 15628, F25, 5) (dual of [15628, 15615, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(526, 31256, F5, 5) (dual of [31256, 31230, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(527, 31257, F5, 5) (dual of [31257, 31230, 6]-code), using
- linear OOA(592, 4194301, F5, 3, 10) (dual of [(4194301, 3), 12582811, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(592, 8388602, F5, 2, 10) (dual of [(8388602, 2), 16777112, 11]-NRT-code), using
- trace code [i] based on linear OOA(2546, 4194301, F25, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2546, 8388602, F25, 10) (dual of [8388602, 8388556, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- OOA 2-folding [i] based on linear OA(2546, 8388602, F25, 10) (dual of [8388602, 8388556, 11]-code), using
- trace code [i] based on linear OOA(2546, 4194301, F25, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(592, 8388602, F5, 2, 10) (dual of [(8388602, 2), 16777112, 11]-NRT-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.