Information on Result #1013067
Linear OOA(598, 4194311, F5, 3, 10) (dual of [(4194311, 3), 12582835, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(56, 10, F5, 3, 5) (dual of [(10, 3), 24, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, 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.