Information on Result #899945
Linear OOA(2586, 7892, F25, 2, 23) (dual of [(7892, 2), 15698, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2519, 78, F25, 2, 11) (dual of [(78, 2), 137, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(255, 26, F25, 2, 5) (dual of [(26, 2), 47, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;47,25) [i]
- linear OOA(2514, 52, F25, 2, 11) (dual of [(52, 2), 90, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,92P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(255, 26, F25, 2, 5) (dual of [(26, 2), 47, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2567, 7814, F25, 2, 23) (dual of [(7814, 2), 15561, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2567, 15628, F25, 23) (dual of [15628, 15561, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2567, 15625, F25, 23) (dual of [15625, 15558, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(2567, 15628, F25, 23) (dual of [15628, 15561, 24]-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.